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How to Compare Fractions Using the Butterfly Method

Fractions can be confusing since they have two integers--an upper one called the numerator and a lower one called the denominator--that create a single value. Comparing fractions can seem twice as confusing because you have four different integers to compare. The butterfly method of fraction comparison incorporates cross-multiplication and allows you to work with the fractions' numerators and denominators separately, creating single integer products that are easier to compare.

Instructions

    • 1

      Write the fractions being compared next to one another.

    • 2

      Create the "butterfly wings" by drawing two ovals--one around the left fraction's numerator and the right fraction's denominator and another one around the right fraction's numerator and the left fraction's denominator.

    • 3

      Multiply the numbers within the first wing--the first fraction's numerator and second's denominator, and write the product above the numerator at the top of the wing.

    • 4

      Multiply the numbers in the second wing--the first fraction's denominator and the second's numerator, and write the product above the numerator at the wing's top.

    • 5

      Compare the two products written above the wings--the wing with the greater product above it will signify the fraction with the greater value. If the products are equal, the fractions have the same value.

Middle School
Middle School
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