Equivalent Fractions
Number Line
Comparing Fractions
Word Problems
100

Name an equivalent fraction for 1/2.

2/4, 3/6, 4/8, 10/12, etc.

100

Draw a number line that is partitioned into fifths. Place two fifths on the number line.

number line with two fifths labeled

100
Compare 1/2 and 1/3 using >, <, or =.
1/2 > 1/3
100

Quinn's bookself has 5 shelves. She fills 3 of the shelves with books. Name the fraction of the shelves that do not have books.

2/5

200
Name an equivalent fraction for 1/3
2/6, 3/9, 4/12, 5/15, etc.
200

Draw a number line with the endpoints 0 and 1. Draw 4 lines drawn in between 0 and 1. Name the unit fraction that is shown on my number line.

fifths or 1/5

200
Compare 1/6 and 1/9 using >, <, or =.
1/6 > 1/9
200

Sammy and Eleanor were in a pie eating contest. The pies were cut either into thirds or sixths. Sammy picked up a pie cut into sixths, and ate 4/6 of it in 1 minute. Eleanor picked up a pie cut into thirds. What fraction of the pie does Eleanor have to eat in 1 minute to tie with Sammy?

2/3

300
Name an equivalent fraction for 1 whole
2/2, 3/3, 4/4, 5/5
300

Make a number line with the endpoints 0 and 3.  

Partition each whole into thirds. Place seven thirds on the number line.

number line

300
Compare 1/2 and 2/4 using >, <, or =.
1/2 = 2/4
300

Ms. Dalton draws a fraction on the board. Karen said it's 2/3 and Stella said it's 3/2. Do both of these fractions mean the same thing? Draw a number line to prove your answer. Use words or pictures to explain your comparison.

No, 3/2 is larger. model required

400

Name an equivalent fraction for 2/3. Draw a model to prove your answer.

4/6, 6/9, 8/12, etc.

400

Draw a number line with the end points 0 and 3.

Partition each whole into fourths.  

How many fourths are in 3 wholes?

12/4

400
Compare 3/8 and 3/4 using >, <, or =.
3/8 < 3/4
400

Sara put 5 equally spaced nails along a piece of string to hang pictures from. The whole length is from the first nail to the last nail. Draw and label each nail with the correct fraction.

 .         .         .         .         .          .

0/5    1/5     2/5      3/5      4/5      5/5

500

Name an equivalent fraction for 3/2. Draw a model to prove your answer.

Answers vary. Model required for points

500

Split this number line into fourths.

Ms. Skiba wants to run 2 miles.  So far she has completed 5/4 of her run.  What fraction of the run does she have left?

3/4 of a mile

500

Compare 7/8 and 7/5 using >, <, or =. Draw a model to prove your answer.

7/8 < 7/5

500

DJ and Lilah bake 2 chocolate cakes that are exactly the same size. DJ put 5/10 of a cup of sugar into her cake, and Lilah put 5/6 of a cup of sugar into her cake. Who used less sugar?  Use fraction bars or number lines to show your work

5/6 > 5/10.  DJ used less sugar.

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