1/15
00:00

Q.1 Choose the correct sign to compare fractions

Loading questions...

What does it mean to compare fractions?

Comparing fractions means deciding which fraction is greater, less, or if they are equal. We use the symbols < (less than), > (greater than), and = (equal to) when comparing fractions.

Examples:
  • 1/2 > 1/3
  • 3/4 = 6/8
  • 2/5 < 4/5
Note

When you compare fractions, always think about the size of the parts and how many parts are being considered.

How can you identify which fraction is greater?

You can identify the larger or smaller fraction by comparing the denominators and numerators. Fractions can be compared by using the same denominator or by thinking about their size on a number line.

Steps:
  • Compare fractions with the same denominator: the one with the larger numerator is greater.
  • Compare fractions with the same numerator: the one with the smaller denominator is greater.
  • Use equivalent fractions to make denominators the same, then compare.
Note

Always remember: a larger denominator means smaller parts, and a smaller denominator means larger parts when numerators are equal.

Examples of comparing fractions

Let’s look at some examples of how to compare fractions correctly.

Examples:
  • 2/3 and 2/5 β†’ Same numerator. Since fifths are smaller pieces than thirds, 2/3 > 2/5.
  • 3/4 and 1/4 β†’ Same denominator. Compare numerators: 3 > 1, so 3/4 > 1/4.
  • 1/2 and 3/6 β†’ Make equivalent fractions: 1/2 = 3/6. They are equal.
Note

When in doubt, use a number line or visual model like fraction bars to help compare.

Helpful tips for comparing fractions

Comparing fractions becomes easier with strategies and practice. Use these helpful tips when working with fractions.

Tips:
  • Draw a fraction bar or circle model to see the size.
  • Use equivalent fractions to make denominators the same.
  • Think about fractions on a number line between 0 and 1.
  • Remember: the closer the fraction is to 1, the greater it is.
Note

Fractions can be compared in different ways. Choose the method that makes the problem easiest for you to solve correctly.