How to Compare Fractions

Comparing fractions can be a frustrating practice. Most often, we are taught to find a common denominator or to create visual representations like graphs and pie charts. These work; but take a bit of time to complete. Whether you are comparing fractions on a math test, or trying to find out which recipe uses more flour, read on to learn a simple technique to make the process smoother.

Difficulty: Moderately Easy

Instructions

Things You'll Need:

• pen or pencil
• paper

1. 

   Begin by writing the two fractions side by side on a piece of paper.

2. 

   Multiply the numerator of the fraction on the left by the denominator of the fraction on the right and record the answer on the top left, beside the numerator.

3. 

   Next, multiply the numerator of the fraction on the right by the denominator of the fraction on the left. Record this answer on the top right, beside the numerator.

4. 

   Compare the two numbers. The fraction that has the higher number written beside it is the larger of the two.

Tips & Warnings

• This technique works for comparing ratios as well. Simply create a fraction out of the ratio, placing the number to the left of the colon on top (i.e., 2-to-3 becomes 2/3).
• Remember that the result of the multiplication belongs to the fraction whose numerator was used.