Lemonade Stand: Which Pitcher Is Fuller?

Compare fractions by part size, missing parts, and same-size pieces.

Same numerator, different part sizes

All the pitchers at the stand are the same size. When two fractions have the same numerator, compare the size of the parts. Write >, <, or =.

Ines filled 3/5 of a pitcher with lemonade. Dev filled 3/8 of a pitcher that is the same size. Who poured more lemonade, and why?

A. Dev, because 8 is greater than 5.B. They poured the same amount, because both used 3 parts.C. Ines, because fifths are bigger parts than eighths.D. Dev, because eighths are bigger parts than fifths.

Lucia's pitcher is 2/6 full. Sam's pitcher is 2/4 full. The bars show each pitcher.

Lucia
Sam
2/6 2/4
has the fuller pitcher.

Each pair tells how full two same-size pitchers are. Write >, <, or =.

5/12 5/10
4/5 4/6
7/10 7/8

How close to full?

A full pitcher is 1 whole. Find how much each pitcher is missing. The pitcher that is missing the smaller part is fuller.

The yellow pitcher is 7/8 full. The pink pitcher is 5/6 full. Both pitchers are the same size.

The yellow pitcher needs /8 more to be full.
The pink pitcher needs /6 more to be full.
So 7/8 5/6.

Pitcher 1 is 9/10 full. Pitcher 2 is 4/5 full. The pitchers are the same size. Which pitcher is fuller?

A. Pitcher 2, because 4/5 is missing only 1/5.B. Pitcher 1, because 9/10 is missing only 1/10, and 1/10 is smaller than 1/5.C. They are equally full, because each pitcher is missing 1 part.

Make the parts match

Rename one or both fractions so the parts are the same size or the numerators match. Then compare.

Kai stirred 2/3 cup of sugar into his lemonade. Mei stirred 5/6 cup of sugar into hers.

2/3 = /6
2/3 5/6
used more sugar.

Ava squeezed lemons for 3/4 of an hour. Ben squeezed lemons for 5/6 of an hour. The number line goes from 0 to 1 hour and is marked in twelfths. The two points show 3/4 and 5/6.

3/4 = /12
5/6 = /12
3/4 5/6

Zoe and Leo each had a same-size jug of lemonade. Zoe poured out 2/5 of her jug. Leo poured out 4/12 of his jug. Make the numerators match to compare.

2/5 = 4/
Tenths are bigger parts than twelfths, so 2/5 4/12.
poured out more lemonade.

Each pair tells how full two same-size pitchers are. The first fraction is the first pitcher. Sort each pair.

10.

The stand makes one same-size batch of lemonade each day. The goal is to sell more than 2/3 of the batch. Circle every fraction that is greater than 2/3.

11.

Ravi says 3/8 of a pitcher is more than 2/4 of the same pitcher, because 3 is greater than 2 and 8 is greater than 4. Is Ravi right? Explain how you know. You may use a drawing, the benchmark 1/2, or same-size parts.