Add and subtract proper and improper fractions with this calculator and see the work involved in the solution.
Select the number of fractions in your equation and then input numerators and denominators in the available fields. Click the Calculate button to solve the equation and show the work.
You can add and subtract 3 fractions, 4 fractions, 5 fractions and up to 9 fractions at a time.
How to Add and Subtract Fractions
When the Denominators are the Same
When fractions have the same denominators we simply add or subtract the numerators as indicated and place the result over the common denominator. If necessary we can simplify the fraction to lowest terms or a mixed number.
When the Denominators are Unlike or Different
When fractions have unlike denominators the first step is to find equivalent fractions so that all of the denominators are the same. We find the Least Common Denominator (LCD) then rewrite all fractions in the equation as equivalent fractions using the LCD as the denominator. When all denominators are alike, simply add or subtract the numerators and place the result over the common denominator. The resulting fraction can be simplified to lowest terms or written as a mixed number.
How to Work With Negative Fractions
When an equation calls for adding a negative fraction, we can rewrite the equation as subtracting a positive fraction. Likewise, if the equation calls for subtracting a negative fraction, this is the same as adding a positive fraction and can be rewritten this way. This calculator rewrites negative fractions when it shows the work involved in finding the answer.
Simplifying Operations on Negative Numbers
Whether you are working with fractions, whole numbers or decimals, use these guidelines when adding and subtracting positive and negative numbers.
Subtracting a Positive Number
Subtracting a Negative Number
Subtracting a Positive Number
Subtracting a Positive Number
For similar and more basic methods of working with fractions you can also visit Help With Fractions.
1 3/20
To get the answer to 2/5 plus 3/4 in decimal form, we simply divide the numerator by the denominator from our fraction answer:23 / 20 = 1.15
Adding Fractions Calculator You can enter another adding fractions problem for us to explain and solve:
What is 2/5 plus 3/5?
Here are the next fractions on our list that we have added together so you can learn how to add fractions. Copyright | Privacy Policy | Disclaimer | Contact
2/5 + 3/4 = 1 3/20
How did we solve the problem above? When we add two fractions, such as 2/5 + 3/4, we make sure that the two denominators are the same and then we simply add the numerators. In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them intact. We also simplify the answers to fraction problems whenever possible.How To Add Fractions Learn how to calculate 2/5 + 3/4. Go here for step-by-step instructions on how to add fractions.
Fraction Calculator
Now you know the answer to the fraction problem: 2/5 + 3/4. To find the answer to another fraction problem, use our convenient Fraction Calculator below: More information from Research Maniacs:What is 2/5 minus 3/4?
What is 2/5 divided by 3/4?
What is 2/5 multiplied by 3/4?
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The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
No good. So next you try the next prime number, which is 3...
No good. So next you try the next prime number, which is 5...
No good. So next you try the next prime number, which is 7...
No good. So next you try the next prime number, which is 11...
No good. So next you try the next prime number, which is 13...
No good. So next you try the next prime number, which is 17...
No good. So next you try the next prime number, which is 19...
No good. So next you try the next prime number, which is 23...
No good. 23 is larger than 20. So we're done reducing.
And we're done! Here's the final answer to 2/5 + 3/4
Page 2
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
So far so good... let's try to divide by that number again.
No good. So next you try the next prime number, which is 3...
No good. 3 is larger than 2. So we're done reducing.
And we're done! Here's the final answer to 3/4 + 3/4
Page 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
No good. 2 is larger than 1. So we're done reducing.
There you have it! Here's the final answer to 3/4 + 1/4
Page 4
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
No good. 2 is larger than 1. So we're done reducing.
Congratulations! Here's your final answer to 1/4 + 1/4
Page 5
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
No good. So next you try the next prime number, which is 3...
No good. So next you try the next prime number, which is 5...
No good. 5 is larger than 3. So we're done reducing.
And we're done! Here's the final answer to 1/4 + 1/2
Page 6
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
No good. 2 is larger than 1. So we're done reducing.
There you have it! Here's the final answer to 1/2 + 1/2
Page 7
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
Nope. Try the next prime number, 11...
No good. 11 is larger than 7. So we're done reducing.
Congratulations! Here's your final answer to 1/2 + 1/12
Page 8
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
So far so good... let's try to divide by that number again.
No good. 2 is larger than 1. So we're done reducing.
And we're done! Here's the final answer to 1/12 + 1/12
Page 9
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
No good. So next you try the next prime number, which is 3...
No good. So next you try the next prime number, which is 5...
No good. So next you try the next prime number, which is 7...
No good. So next you try the next prime number, which is 11...
No good. So next you try the next prime number, which is 13...
No good. 13 is larger than 11. So we're done reducing.
And we're done! Here's the final answer to 1/12 + 10/12
Page 10
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
So far so good... let's try to divide by that number again.
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
So far so good... let's try to divide by that number again.
No good. So next you try the next prime number, which is 3...
No good. So next you try the next prime number, which is 5...
No good. 5 is larger than 3. So we're done reducing.
And we're done! Here's the final answer to 10/12 + 10/12
Page 11
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
No good. So next you try the next prime number, which is 3...
No good. So next you try the next prime number, which is 5...
No good. So next you try the next prime number, which is 7...
No good. So next you try the next prime number, which is 11...
No good. So next you try the next prime number, which is 13...
No good. 13 is larger than 11. So we're done reducing.
And we're done! Here's the final answer to 10/12 + 1/12
Page 12
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Let's try dividing by that again...
No good. 3 is larger than 1. So we're done reducing.
There you have it! Here's the final answer to 1/12 + 11/12
Page 13
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
No good. 7 is larger than 6. So we're done reducing.
Congratulations! Here's your final answer to 11/12 + 11/12
Page 14
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Let's try dividing by that again...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Let's try dividing by that again...
No good. 3 is larger than 1. So we're done reducing.
There you have it! Here's the final answer to 11/12 + 1/12
Page 15
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
Nope. Try the next prime number, 11...
No good. 11 is larger than 7. So we're done reducing.
Congratulations! Here's your final answer to 1/12 + 1/2
Page 16
Can this fraction be reduced?
First, we attempt to divide it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
No good. 5 is larger than 4. So we're done reducing.
Congratulations! Here's your final answer to 1/2 + 10/12
Page 17
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
Nope. Try the next prime number, 11...
Nope. Try the next prime number, 13...
Nope. Try the next prime number, 17...
Nope. Try the next prime number, 19...
Nope. Try the next prime number, 23...
Nope. Try the next prime number, 29...
Nope. Try the next prime number, 31...
Nope. Try the next prime number, 37...
Nope. Try the next prime number, 41...
Nope. Try the next prime number, 43...
Nope. Try the next prime number, 47...
Nope. Try the next prime number, 53...
Nope. Try the next prime number, 59...
Nope. Try the next prime number, 61...
Nope. Try the next prime number, 67...
No good. 67 is larger than 66. So we're done reducing.
Congratulations! Here's your final answer to 10/12 + 10/11
Page 18
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
Nope! So now we try the next greatest prime number, 13...
No good. 13 is larger than 11. So we're done reducing.
There you have it! Here's the final answer to 10/11 + 10/11
Page 19
Can this fraction be reduced?
First, we attempt to divide it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:
Let's try dividing by that again...
No good. 11 is larger than 1. So we're done reducing.
There you have it! Here's the final answer to 10/11 + 1/11
Page 20
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2...
Nope! So now we try the next greatest prime number, 3...
No good. 3 is larger than 2. So we're done reducing.
There you have it! Here's the final answer to 1/11 + 1/11
Page 21
Can this fraction be reduced?
First, we attempt to divide it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
Are both the numerator and the denominator evenly divisible by 11? Yes! So we reduce it:
Let's try dividing by that again...
No good. 11 is larger than 1. So we're done reducing.
There you have it! Here's the final answer to 1/11 + 10/11
Page 22
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
Nope. Try the next prime number, 7...
Nope. Try the next prime number, 11...
Nope. Try the next prime number, 13...
Nope. Try the next prime number, 17...
Nope. Try the next prime number, 19...
Nope. Try the next prime number, 23...
Nope. Try the next prime number, 29...
Nope. Try the next prime number, 31...
Nope. Try the next prime number, 37...
Nope. Try the next prime number, 41...
Nope. Try the next prime number, 43...
Nope. Try the next prime number, 47...
Nope. Try the next prime number, 53...
Nope. Try the next prime number, 59...
Nope. Try the next prime number, 61...
Nope. Try the next prime number, 67...
No good. 67 is larger than 66. So we're done reducing.
Congratulations! Here's your final answer to 10/11 + 10/12
Page 23
Can this fraction be reduced?
First, we attempt to divide it by 2...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Let's try dividing by that again...
Nope! So now we try the next greatest prime number, 5...
No good. 5 is larger than 4. So we're done reducing.
There you have it! Here's the final answer to 10/12 + 11/12
Page 24
Can this fraction be reduced?
First, we attempt to divide it by 2...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:
Let's try dividing by that again...
Nope! So now we try the next greatest prime number, 5...
No good. 5 is larger than 4. So we're done reducing.
There you have it! Here's the final answer to 11/12 + 10/12
Page 25
Can this fraction be reduced?
First, we attempt to divide it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
Now, try the same number again.
Nope. Try the next prime number, 3...
Nope. Try the next prime number, 5...
No good. 5 is larger than 4. So we're done reducing.
Congratulations! Here's your final answer to 10/12 + 1/2
Page 26
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
No good. So next you try the next prime number, which is 3...
No good. So next you try the next prime number, which is 5...
No good. So next you try the next prime number, which is 7...
No good. So next you try the next prime number, which is 11...
No good. So next you try the next prime number, which is 13...
No good. 13 is larger than 12. So we're done reducing.
And we're done! Here's the final answer to 1/2 + 11/12