Lesson 16 Compare and Order Fractions

- Let’s put some fractions in order.

Warm-up Number Talk: Multiples of 6 and 12

Find the value of each expression mentally.

$5 \times 6$
$5 \times 12$
$6 \times 12$
$11 \times 12$

Activity 1 Compare Fractions Game

fraction cards

Play Compare Fractions with 2 players:

Split the deck between the players.
Each player turns over a card.
Compare the fractions. The player with the greater fraction keeps both cards.
If the fractions are equivalent, each player turns over one more card. The player with the greater fraction keeps all four cards.
Play until you run out of cards. The player with the most cards at the end of the game wins.

Play Compare Fractions with 3 or 4 players:

The player with the greatest fraction wins the round.
If 2 or more players have the greatest fraction, those players turn one more card over. The player with the greatest fraction keeps all the cards.

Record any sets of fractions that are challenging to compare here.

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Activity 2 Fractions in Order

Put each set of fractions in order, from least to greatest. Be prepared to explain your reasoning.

1. $\frac{3}{12}$
2. $\frac{2}{4}$
3. $\frac{2}{3}$
4. $\frac{1}{8}$
1. $\frac{8}{5}$
2. $\frac{5}{6}$
3. $\frac{11}{12}$
4. $\frac{11}{10}$
1. $\frac{21}{20}$
2. $\frac{9}{10}$
3. $\frac{6}{5}$
4. $\frac{101}{100}$
1. $\frac{5}{8}$
2. $\frac{2}{5}$
3. $\frac{3}{7}$
4. $\frac{3}{6}$

Practice Problem

Problem 1

List these fractions from least to greatest.
1. $\frac{15}{8}$
2. $\frac{215}{100}$
3. $\frac{7}{4}$
4. $\frac{21}{10}$
Explain or show your reasoning.