# Comparing Fractions Calculator

Enter any fraction, decimal, or percent and the calculator will let you know which one of these is greater than the other.

Enter Fractions, Decimals or Percents

 AND

The comparing fractions calculator calculates which of the two fractions is larger or smaller. The comparison reflects which fraction is greater than two fractions. It is done by applying mathematical calculations, thereby making fraction comparisons faster and more accurate.

## How to Compare Fractions?

There are three methods to compare the fractions:

### Common Denominator Fractions:

• Compare fractions by making the same denominator.
• For making the denominator equal, use the least common multiple method.
• Fraction comparisons are decided on the basis of the larger numerator.

This comparing fractions calculator compares the two fractions (or mixed numbers) instantly and evaluates which fraction is bigger than the other.

## Example:

Compare 2/5 and 3/7.

Common denominator is 35

2/5 = 14/35

Multiply both the numerator and denominator with 7

3/7 = 15/35

Multiply numerator and denominator with 5

Compare the numerators:

15/35 >14/35,

Then  3/7 >2/5

## Comparing Decimals Method:

• Convert the fraction into decimals to know which fraction, mixed number, or percent is bigger or smaller
• Compare the decimal number fraction with the greater decimal value is the larger fraction

## Example:

Compare; 2/5 and 3/7.

Then Convert to decimals:

2/5 = 0.4 and 3/7 ≈ 0.4286.

The decimal value comparison:

0.4286 > 0.4,

Then,

3/7 >2/5.

## Cross-Multiplication Method:

• Apply the following steps for the cross-multiplication method
• In the Cross-multiplication method, multiply the numerator of one fraction with the denominator of the other and vice versa.
• Compare the result of the cross-multiplication, the fraction with a larger cross-multiplication answer is larger.
• The greater than less than fractions are decided relative to their cross-multiplication answer.

## Example:

Compare 2/5 and 3/7

Cross-multiply:

(2 * 7) and (3 * 5)

Compare the cross-products:

14 and 15

Since 15 > 14

3/7> 2/5

## Working of Our Comparing Fractions Calculator:

Here are the steps to know the working pattern of the decimal comparison calculator.

Let's see how it works!

Input Value:

• Enter Fraction, Decimal, or Percent values
• Tap Calculate

## FAQs:

### What Is LCD in Fraction Comparison?

The LCD or least common denominator is the smallest multiple to the denominator compared to each other. You compare fractions with different denominators by turning the denominator.

Then find the fraction with a larger numerator. This fraction would the larger compared to others, our compare fractions calculator applies the LCD method instantly.

### How to Compare Fractions to Whole Numbers?

Comparing the fraction whole number convert the fraction to a decimal number by division. Then compare them with the fraction to know which fraction is larger.

### What Is the Importance of Comparing Fractions in Mathematics?

Understanding the comparison of fractions is basic in mathematics due to its direct relationship with the following topics:

• Proportionality
• Ratios
• Decimal
• Percentages

## Fraction Comparison Chart:

The following table compares fractions with different denominators. You need to apply the above methods to find greater than less than fractions. It may be confusing to apply which method to use, but the fractions greater than or less than calculator will instantly find the solution and display the result on screen.

Fraction Comparison Result
5/8 > 1/2 5/8 is greater than 1/2
1/3 < 1/2 1/3 is less than 1/2
3/8 < 1/2 3/8 is less than 1/2
5/8 > 3/4 5/8 is greater than 3/4
3/8 > 1/4 3/8 is greater than 1/4
3/4 > 1/2 3/4 is greater than 1/2
2/3 > 1/2 2/3 is greater than 1/2
3/4 > 1/2 3/4 is greater than 1/2
2/3 > 1/2 2/3 is greater than 1/2
2/3 > 1/2 2/3 is greater than 1/2
1/3 < 1/2 1/3 is less than 1/2
3/16 > 1/4 3/16 is greater than 1/4
1/2 > 1/4 1/2 is greater than 1/4
1/2 > 1/4 1/2 is greater than 1/4
1/8 < 1/4 1/8 is less than 1/4
3/4 > 1/2 3/4 is greater than 1/2
3/8 > 5/16 3/8 is greater than 5/16
7/16 > 1/2 7/16 is greater than 1/2
Fractions greater than 1/2 Examples: 5/8, 3/4, 7/8, ...
2/3 > 3/4 2/3 is greater than 3/4
3/4 > 7/8 3/4 is greater than 7/8
3/16 > 1/8 3/16 is greater than 1/8
7/8 > 3/4 7/8 is greater than 3/4
1/3 > 1/4 1/3 is greater than 1/4
5/8 > 9/16 5/8 is greater than 9/16
5/8 > 11/16 5/8 is greater than 11/16
1/3 > 1/4 1/3 is greater than 1/4
3/2 > 1 3/2 is greater than 1
5/32 > 1/8 5/32 is greater than 1/8
5/32 > 1/8 5/32 is greater than 1/8
4/5 > 2/3 4/5 is greater than 2/3
3/8 > 1/4 3/8 is greater than 1/4
5'3" < 5'11" 5'3" is less than 5'11"
11/16 > 3/4 11/16 is greater than 3/4
Fractions greater than 1/2 Examples: 5/8, 3/4, 7/8, ...
9/16 > 5/8 9/16 is greater than 5/8
5/8 > 9/16 5/8 is greater than 9/16
5/8 > 11/16 5/8 is greater than 11/16
1/3 > 1/4 1/3 is greater than 1/4
5/8 > 9/16 5/8 is greater than 9/16

## Citation:

From Flexbooks.ck12.org: Compare fractions

From khanacademy.org: Fraction comparison