Compare fractions, decimals, and also percentages to uncover which is greater than, much less than, or if they space equal.

You are watching: 1/3 bigger than 1/2

Step One: transform all number to decimal

123 = 1.6666666666667

1.75 = 1.75

Step Two: compare the decimal values


Step Three: rewrite the numbers using the initial values

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How to to compare Fractions

Comparing fractions could seem challenging; it seems a little like comparing apples and oranges. Fortunately, there space a few methods for comparing one fraction to another.


Method One: compare Fractions by converting to Decimal First

The first way to to compare fractions is to convert them to a decimal value. Divide the numerator of each portion by the denominator, then to compare the decimal values.

Here’s a tip: use our fraction to decimal calculator to get the decimal value for her fraction. You might likewise want to inspect out ours decimal equivalents chart to check out the decimal equivalents for common fractions.

Method Two: to compare Fractions By finding the common Denominator

Another means to compare fractions is come rewrite all the fractions to tantamount fractions with the exact same denominator. To perform this, uncover the greatest common denominator, then do the platform of each fraction equal.

Start by recognize the lowest typical denominator, i m sorry we occasionally refer to together the least usual denominator. This is the the smallest number the each denominator divides equally into. If you’re not sure exactly how to execute this, our lowest usual denominator calculator will help you uncover it.

For example, let’s find the lowest typical denominator that 6 and also 9.

6 × 3 = 189 × 2 = 18LCD = 18

Next, divide the lowest typical denominator by the denominator the the portion to discover the multiple. Then, main point the numerator by the lot of to acquire the new numerator. Put the new numerator end the lowest usual denominator to obtain the new fraction.

For example, transform 16 come a fraction with a denominator of 18.

18 ÷ 6 = 33 × 1 = 316 = 318

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

You can likewise use an equivalent fractions calculator or our equivalent portion chart to check out equivalents for typical fractions, which might assist shortcut the conversion.

Finally, to compare the molecule to uncover 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 watch which is largest.

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

Thus, 318 is higher than 218

Method Three: to compare Fractions v the very same Numerator

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

How to compare Fractions come Decimals and Percentages

The steps to compare fractions come decimals and also percent values space a tiny different.

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

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

Finally, rewrite the comparison statement making use of the original numbers and add the exactly operator as found in the previous step.

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