Illustrative Math Fractions Review

Mai biked for 8 3/4 miles today, and Noah biked 3 1/2 miles. How many times the length of Noah's bike ride was Mai's bike ride?

• 2/5 times as far

• 3/4 times as far

• 5/2 times as far

• 245/8 times as far

Select ALL equations that represent this question:

Sera is stacking building blocks to make a tower. She takes a break when the tower is 4½ feet tall, which is ⅜ of the height of the tower she wants to build. How tall is the tower when finished?

• ⅜ ⋅ ? = 4½

• ⅜ ÷ 4½ = ?

• 4½ ⋅ ⅜ = ?

• 4½ ⋅ 8/3 = ?

• 4½ ÷ ⅜ = ?

Select all statements that show correct reasoning for finding 12÷ 5/9

• Multiply 12 by 5, then divide by 9.

• Multiply 12 by 9, then divide by 5.

• Multiply 12 by 1/9, then multiply by 5.

• Multiply 12 by 9, then multiply by 1/5.

Divide. 3/4 ÷ 1/5

• 3¾

• 3/20

• 3

• 4/15

• 14 cookies
• 1/2 cookies
• 28 cookies
• 1/28 cookies

• 3  2/7
• 4  ⁴/₇
• ⁵⁷/₉
• 5  ¹/₂

Caroline had 1/2 of a bag of donuts. She wants to split it evenly between herself and 3 friends. How much of the bag will each friend get? 

• 6
• 1/6
• 8
• 1/8

Divide and simplify.

9/4 ÷ 2/3

• 3

• 1/3

• 3⅜

• 8/27

How many ¼ cubes does it take to fill a box with width 2¼ inches, length ¾ inches, and height 2½ inches?

• 200 cubes

• 270 cubes

• 300 cubes

• 243 cubes

A rectangular piece of foil has an area of 8¾ square inches. Its length is 3½ inches. What is the width of the foil?

• 2¾ inches

• 2 inches

• 245/8 inches

• 2½ inches