1/2 is smaller than 3/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 4 is 4Next, find the equivalent fraction of both fractional numbers with denominator 4
- For the 1st fraction, since 2 × 2 =
4,
1/2 = 1 × 2/2 × 2 = 2/4 - Likewise, for the 2nd fraction, since 4 × 1 = 4,
3/4 = 3 × 1/4 × 1 = 3/4 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2/4 < 3/4 or 1/2 < 3/4
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Is 1/2 greater than 3/4? Is 1/2 bigger than 3/4? Is 1/2 larger than 3/4? These are all the same questions with one answer.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
1/2 = 0.5
3/4 = 0.75
Then, we compare the two decimal numbers to
get the answer.
0.5 is not greater than 0.75.
Therefore, 1/2 is not greater than 3/4 and the answer to the question "Is 1/2 greater than 3/4?" is no.
Which means that this equation is also true: 1/2 < 3/4
Note: When comparing fractions such as 1/2 and 3/4, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.
Compare Fractions
Compare another set of fractions here.
Is 1/2 greater than 3/5?
Here is the next set of fractions we compared.
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Is 3/4 greater than 1/2? Is 3/4 bigger than 1/2? Is 3/4 larger than 1/2? These are all the same questions with one answer.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
3/4 = 0.75
1/2 = 0.5
Then, we compare the two decimal numbers to
get the answer.
0.75 is greater than 0.5.
Therefore, 3/4 is greater than 1/2 and the answer to the question "Is 3/4 greater than 1/2?" is yes.
Which means that this equation is also true: 3/4 > 1/2
Note: When comparing fractions such as 3/4 and 1/2, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.
Compare Fractions
Compare another set of fractions here.
Is 3/4 greater than 1/3?
Here is the next set of fractions we compared.
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Calculator Use
Compare fractions to find which fraction is larger and which is smaller. You can also use this calculator to compare mixed numbers, compare decimals, compare integers and compare improper fractions.
How to Compare Fractions
To compare fractions with unlike denominators convert them to equivalent fractions with the same denominator.
- If you have mixed numbers convert them to improper fractions
- Find the lowest common denominator (LCD) for the fractions
- Convert each fraction into its equivalent with the LCD in the denominator
- Compare fractions: If denominators are the same you can compare the numerators. The fraction with the bigger numerator is the larger fraction.
Example:
Compare 5/6 and 3/8.
Find the LCD: The multiples of 6 are 6, 12, 18, 24, 30, etc. The multiples of 8 are 8, 16, 24, 32, etc. The lowest common multiple is 24 so we use that as the lowest common denominator.
Convert each fraction to its equivalent fraction using the LCD.
For 5/6, multiply numerator and denominator by 4 to have LCD = 24 in the denominator.
\( \dfrac{5}{6} \times \dfrac{4}{4} = \dfrac{20}{24} \)
For 3/8, multiply numerator and denominator by 3 to have LCD = 24 in the denominator.
\( \dfrac{3}{8} \times \dfrac{3}{3} = \dfrac{9}{24} \)
Compare the fractions. Because there are like denominators you can compare the numerators. 20 is larger than 9, so:
Since
\( \dfrac{20}{24} > \dfrac{9}{24} \)
we conclude
\( \dfrac{5}{6} > \dfrac{3}{8} \)
For additional fraction help see our Fractions Calculator, Simplify Fractions Calculator and Mixed Numbers Calculator.
References: Help with Fractions Finding The Least Common Denominator.