Comparing and Ordering Fractions SPI 0706.2.2 CCSS.Math.Content.7.NS.A.2d Comparing fractions is when you look at two fractions and determine if one is greater than (>), or less than (<), or equal to (=).

Ordering fractions is when you have more than two fractions and are trying to place them in order from least to greatest or greatest to least.

1 3 5 5 A carpenter uses four screws with diameters of in., in., in., and in. Order the diameters from least to greatest. 4 8 16 32

1) Create new fractions with 2) Compare the numerators and common denominators. rewrite. THINGS TO REMEMBER: *To compare fractions, cross multiply. *To order fractions, you must have common denominators! *If the denominator changes, the numerators must change too!!

Examples: Compare or order the following fractions.

7 5 10 16 8 15 22 10 a) ____ b) ____ c) ____ d) ____ 12 9 15 24 16 32 26 13

3 1 1 e) A construction company uses plywood sheets in the following thicknesses: in. for roofing, in. for flooring, 8 2 4 1 in. for countertop surfaces, and in. for filling gaps. Order the thicknesses from greatest to least. 8

2 1 f) Rachel and Hannah have 1 cups of flour. They need 1 cups to complete their recipe. Do they have enough flour 3 2 for the recipe? 2 1 2 g) Kyle operates a hot dog cart in a large city. He spends of his budget on supplies, on advertising, and on 5 12 25 taxes and fees. Order Kyle’s operating expenses from least to greatest.

5 1 3 9 h) Charlie ate of his personal-sized pizza. Claire ate of hers, Anna ate of hers, and Erik ate of his. Who 8 2 4 16 ate the most of his or her pizza?

a. Charlie b. Claire c. Anna d. Erik

i) When placed in the blank, which of the following will make the number sentence true?

5 4 − _____ − 8 7

a. > b. < c. = d. +

4 j) Ramona scored 84% on her math test. Bryan correctly answered of the test questions. Tori scored 44 out of 50. 5 Rance completed 0.86 of the questions correctly. Each test question is worth the same amount. Who has the best score?

a. Ramona b. Bryan c. Tori d. Rance