Which expression is equivalent to 3 4?

Q: What is the fraction 3/4 equivalent to?

Equivalent fractions of 3/4 : 6/8 , 9/12 , 12/16 , 15/ Equivalent fractions of 1/5 : 2/10 , 3/15 , 4/20 , 5/

Important: 34 looks like a fraction, but it is actually an improper fraction.

Table of Contents Show

Here is the full list of equivalent fractions to 34.
How to Use the Equivalent Expression Calculator?
What is an Algebraic Expression?
What is the fraction 3/4 equivalent to?
Are 3/4 and 6/8 are equivalent?
What is equivalent to the expression?

There is an infinity number of equivalent fractions to 34.

To find an equivalent fraction to 34, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:

By multiplying the original fraction by 2, we get:

3 × 2 4 × 2 = 68

Here is the full list of equivalent fractions to 34.

34, 68, 912, 1216, 1520, 1824, 2128, 2432, 2736, 3040, 3344, 3648, 3952, 4256, 4560, 4864, 5168, 5472, 5776, 6080...

Read more on how to find the equivalent fractions for 3/4 or for any other fraction, below on this page.

Easier list to copy and paste:

3/4, 6/8, 9/12, 12/16, 15/20, 18/24, 21/28, 24/32, 27/36, 30/40, 33/44, 36/48, 39/52, 42/56, 45/60, 48/64, 51/68, 54/72, 57/76, 60/80 ...

Equivalent Expression Calculator is a free online tool that displays the equivalent expressions for the given algebraic expression. BYJU’S online equivalent expression calculator tool makes the calculations and simplification faster and it displays the equivalent expression in a fraction of seconds.

How to Use the Equivalent Expression Calculator?

The procedure to use the equivalent expression calculator is as follows:
Step 1: Enter an algebraic expression in the input field
Step 2: Now click the button “Submit” to get the equivalent expression
Step 3: Finally, the equivalent expression for the given algebraic expression will be displayed in a new window.

What is an Algebraic Expression?

An algebraic expression is an expression which consists of variables, coefficients, constants, and mathematical operators such as addition, subtraction, multiplication and division. Generally, if two things are the same, then it is called equivalent. Similarly, in mathematics, the equivalent expressions are the expressions that are the same, even though the expression looks different. But if the values are plugged in the expression, both the expressions give the same result.

Example

Question:
Write the equivalent expression for the given expression: 3x+9
Solution:
Given expression: 3x+9
Take 3 outside from the expression, we get,
= 3(x+3), which is called the equivalent expression

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In this lesson, we will learn about equivalent fraction. We will also learn how to find them.

00:00:09.010
Let's start. Equivalent fractions are fractions that have the same value. What does this means? Let's find out.

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Consider this fraction, 1/2. We know that this fraction is the same as 1 divides 2, which is equals to 0.5.

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Again, let's consider this fraction 3/6. This fraction is the same as 3 divides 6, which is also equals to 0.5.

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Notice that, these 2 numbers are the same.

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So, this means that these 2 fractions are equivalent.

00:00:49.130
Now, with this in mind, let's examine this visually to understand this better.

00:00:56.230
We are going to use these 2 fractions, 3/4, to further elaborate on this.

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Let's start finding fractions that are equivalent to 3/4.

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To find these fraction, we just need to multiply the fraction's numerator, and denominator with the same number.

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For example, we can multiply the numerator 3, with 2, and the denominator 4, with 2.

00:01:24.230
This gives the fraction 6/8. Now, we can visually see that 6/8, is equivalent to 3/4, because the total height of the colored parts remains the same.

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Next, let's multiply the numerator 6, with 3, and the denominator 8, with 3.

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Now, this fraction becomes, 18/24. Again, since the total height of the colored parts are the same, these 2 fractions are equivalent.

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Now, why do we need to multiply both the numerator and denominator with the same number?

00:02:08.030
In order to explain this, lets say that we only multiply the denominator with 2. This gives 3/8.

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Here, we can easily see that these 2 fractions are not equivalent. This is because the total height of the colored parts are not the same.

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Hence, to make them the same again, we need to multiply the numerator with the same number, which is 2 for this case.

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This gives 6/8, and now these fractions are equivalent again. With this, we can say that equivalent fractions can only be obtained by multiplying the numerator and denominator with the same number.

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Next, can we also get E.F from division?

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Let's find out, using this fraction 18/24. Notice that, we can divide the numerator with 6, and denominator with 6.

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By doing so, we have the fraction, 3/4. Since the total height of the colored parts remains the same, these 2 fractions are equivalent.

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Here, note that this fraction is a simplified fraction. This is because we are not able to continue to do any more division on it.

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Now, how about addition or subtraction?

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Let's find out, by adding 2 to the numerator and denominator. After doing so, we can see that the total heights of the colored parts are not the same.

00:03:48.070
So, addition does not gives E.F.

00:03:55.220
Next, by subtracting the numerator and denominator with 2, again we can see that the total heights of the colored parts are not the same. So, subtraction does not gives E.F.

00:04:10.080
Therefore, we know that, we can get equivalent fractions from multiplication or division, and not from addition or subtraction.

00:04:18.090
That is all for this lesson. Try out the practice question to test your understanding.

What is the fraction 3/4 equivalent to?

Equivalent fractions of ³/₄ : ⁶/₈ , ⁹/₁₂ , ¹²/₁₆ , ¹⁵/ Equivalent fractions of ¹/₅ : ²/₁₀ , ³/₁₅ , ⁴/₂₀ , ⁵/

Are 3/4 and 6/8 are equivalent?

So 3/4 is equivalent to 6/8.

What is equivalent to the expression?

What are equivalent expressions? Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).