Compare fractions, decimals, and also percentages to find which is greater than, less than, or if they room equal.

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Step One: transform all number to decimal

123 = 1.6666666666667

1.75 = 1.75

Step Two: to compare the decimal values


Step Three: rewrite the numbers using the original values

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How to compare Fractions

Comparing fractions could seem challenging; it appears a little like compare apples and also oranges. Fortunately, there space a few methods because that comparing one fraction to another.


Method One: compare Fractions by convert to Decimal First

The very first way to compare fractions is to convert them come a decimal value. Divide the molecule of each fraction by the denominator, then compare the decimal values.

Here’s a tip: use our portion to decimal calculator to obtain the decimal value for her fraction. Friend might also want to inspect out our decimal equivalents chart to check out the decimal equivalents for common fractions.

Method Two: compare Fractions By recognize the usual Denominator

Another method to compare fractions is come rewrite all the fractions to equivalent fractions v the very same denominator. To do this, discover the greatest usual denominator, then make the platform of each portion equal.

Start by finding the lowest common denominator, which we periodically refer to together the least common denominator. This is the the smallest number that each denominator divides equally into. If you’re not sure exactly how to do this, our lowest common denominator calculator will aid you find it.

For example, let’s discover the lowest usual denominator of 6 and 9.

6 × 3 = 189 × 2 = 18LCD = 18

Next, divide the lowest usual denominator by the denominator of the fraction to find the multiple. Then, main point the numerator by the many to gain the new numerator. Put the brand-new numerator end the lowest usual denominator to obtain the brand-new fraction.

For example, transform 16 come a portion with a denominator the 18.

18 ÷ 6 = 33 × 1 = 316 = 318

You’ll want to repeat this step for each portion until castle all have actually the same denominator.

You can also use an equivalent fractions calculator or our equivalent portion chart to see equivalents for common fractions, which might help shortcut the conversion.

Finally, compare the numerators to discover which portion is the biggest or smallest. The portion with the bigger numerator is the bigger number.

For example, to compare 318 come 218 to check out which is largest.

numerator #1 = 3numerator #2 = 23 > 2

Thus, 318 is higher than 218

Method Three: compare Fractions with the very same Numerator

When fractions have actually the very same numerator, to compare them by to compare the denominators. As soon as the numerators are the same, the portion with the smaller sized denominator is larger. Saying this a various way, the bigger the denominator, the smaller sized the number is.

How to to compare Fractions to Decimals and Percentages

The procedures to to compare fractions come decimals and also percent values room a tiny different.

First, transform each number to decimal form. Divide portion numerators through the denominator and also divide percentages by 100.

Second, to compare the decimal values with each various other to identify which is smaller sized or larger.

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Finally, rewrite the to compare statement making use of the initial numbers and include the exactly operator as discovered in the vault step.