Comparing Fractions

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Comparing Fractions

Comparing Fraction Action

Numerator = Part

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What does a fraction represent?

Denominator = Whole

Parts to a whole

= 3/4

Which is larger? 1/3 or 3/7 2/4 or 3/6 4/5 or 6/7

Use a picture

Answer: 5/8, benchmark of 1/2

You have a green caterpillar that is 5/8 of an inch long and a yellow caterpillar that is 7/16 of an inch long. Which caterpillar is longer?

Use BenchmarksUse numbers like 1/2 or 1 to gauge how large a fraction is


Answers: 3/7, Equivalent, 6/7

Emilie has 2/4 of a tank left in her gas tank. Kelsey has 2/8 of a tank left in her gas tank. Who has less gas?

Same NumeratorThe fraction with the larger denominator is the smaller fraction

Answer: Kelsey

Same DenominatorThe fraction with the larger numerator is the larger fraction

Dana has 5/8 of a tank left in her gas tank. Katie has 6/8 of a tank left in her gas tank. Who has more gas?

Answer: Katie

Butterfly Method and finding the common denominator

Click me!

Converting to decimals with a calculator

Patti lives 4/10 of a mile from the school and 3/8 of a mile from the grocery store. Which is she closer to?

Answer: grocery store

CCSS.MATH.CONTENT.4.NF.A.2Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Don't forget to answer the questions in your journal!


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