Compare fractions, decimals, and percentages to find which is greater than, less than, or if they are equal.
How to Compare Fractions
Comparing fractions might seem challenging; it seems a bit like comparing apples and oranges. Fortunately, there are a few methods for comparing one fraction to another.
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Method One: Compare Fractions by Converting to Decimal First
The first way to compare fractions is to convert them to a decimal value. Divide the numerator of each fraction by the denominator, then compare the decimal values.
You can also convert the fraction into a fraction with a denominator of 100. This will make it easier to divide the numerator by the denominator.
Here’s a tip: use our fraction to decimal calculator to get the decimal value for your fraction. You might also want to check out our decimal equivalents chart to see the decimal equivalents for common fractions.
Method Two: Compare Fractions By Finding the Common Denominator
Another way to compare fractions is to rewrite all the fractions to equivalent fractions with the same denominator. To do this, find the greatest common denominator, then make the denominators of each fraction equal.
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Start by finding the lowest common denominator, which we sometimes refer to as the least common denominator. This is the smallest number that each denominator divides equally into. If you’re not sure how to do this, our lowest common denominator calculator will help you find it.
Next, convert each fraction to an equivalent fraction with the common denominator. To do this, multiply both the numerator and denominator of each fraction by the same number so that they have the same denominator.
You’ll want to repeat this step for each fraction until they all have the same denominator.
You can also use an equivalent fractions calculator or our equivalent fraction chart to see equivalents for common fractions, which might help shortcut the conversion.
Finally, compare the numerators to find which fraction is the largest or smallest. The fraction with the larger numerator is the larger number.
Method Three: Compare Fractions With the Same Numerator
When fractions have the same numerator, compare them by comparing the denominators. When the numerators are the same, the fraction with the smaller denominator is larger.
Saying this a different way, the larger the denominator, the smaller the number is.
Method Four: Cross Multiplication
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To compare fractions using cross multiplication, you can start by writing the two fractions side by side and then multiplying the numerator of the first fraction by the denominator of the second fraction.
In addition to these methods, our fraction calculator also makes it easy to compare fractions.
How to Compare Fractions to Decimals and Percentages
To compare a fraction to a decimal or percent, convert the fraction to either a decimal or percentage and then compare the values.
To convert a fraction to a decimal, divide the numerator by the denominator.
To convert a fraction to a percentage, first convert the fraction to a decimal, and then multiply the decimal by 100.
You can also convert both the fraction and percent into a decimal and compare both values as decimals. To convert a percent into a decimal, simply divide the percent value by 100.
Comparing numbers, fractions, and percentages is also an essential step in sorting a set of numbers from least to greatest.
Frequently Asked Questions
Why do we compare fractions?
Why is it easier to compare decimals instead of fractions?
How do you compare fractions with whole numbers?
How do you compare more than two fractions at a time?
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Category: WHICH
