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Multiply and Divide Fractions! Answer Key

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Multiply Fractions
#1 3/10 x 8 2 2/5
#2 2/7 x 15 4 2/7
#3 4/5 x 1/2 2/5
#4 3 2/9 x 1 5/7 5 11/21
#5 7 1/8 x 2 5/6 20 3/16
Divide Fractions
#1 1/2 ÷ 3 1/6
#2 7 ÷ 1/8 56
#3 1/5 ÷ 1/6 1 1/5
#4 3/4 ÷ 1/7 5 1/4
#5 1 1/2 ÷ 2 1/3 9/14
Multiplying Factions Word Problems
#1 Carrie ate some of the oranges that her mother brought home from the grocery store. Of the oranges her mother brought, 1/4 were left over. Shyla, Carrie's sister, ate 2/5 of the oranges left over. What fraction of the oranges did Shyla eat? 1/10 of the oranges
#2 Laney bought 1 2/3 pounds of grapes. She also bought bananas that were 2 1/4 times the weight of the grapes. How much did the bananas weigh? 3 3/4 pounds
#3 Mrs. Plesich has a 16 1/2 ounce bag of chocolate chips. She will only use 1/4 of the bag for decorating a cake. How many ounces will she use for decorating? 4 1/8 ounces
#4 Jay has $80. He used 2/5 of his money to buy a new pair of running shoes. How much did Jay spend on his new shoes? $32
#5 Alexandra made a rectangular quilt that measured 3 1/4 feet in length by 2 3/4 feet in width. To find the area, multiply the length and the width. What is the area of the quilt in square feet? 8 15/16 square feet
Dividing Factions Word Problems
#1 Denise has 4 hours to paint crafts. She would like to spend no more than 1/4 of each hour on each craft. How many crafts can she paint during this time? 16 crafts
#2 A baker cuts 3 cakes into pieces. Each piece represents 1/8 of a cake. What is the total number of pieces? 24 pieces
#3 Tyson has 1/2 a pound of raisins to be divided equally into 7 bags. What fraction of a pound will be in each bag? 1/14 pounds
#4 Samantha built a sandbox with an area of 3/8 square yards and a length of 3/4 yards. What is the width? 1/2 yard
#5 Sara is dividing 1 1/4 pounds of cashews into 5 plastic bags. What fraction of a pound of cashews will be in each bag? 1/4 pounds
Mixed Operation Word Problems
#1 Peter has $15 and uses 1/5 of his money on candy. How much money did he spend on candy? $3
#2 Wendy spent 5 1/2 hours studying for her math test. 1/4 of the time was spent reviewing multiplying fractions. How much time did she spend on fractions? 1 3/8 hour
#3 Connor had 6/14 pounds of marbles and split them up into 3 piles. How many pound of marbles were in each pile? 1/7
#4 Tanya bought 5/6 pounds of peanut. After she ate them she weighed the shells. The shells weighed 1/8 of the total weight. How much did the peanuts weigh? 5/48 pound
#5 Juan want to cut a rope that is 5 feet long into sections that are 1/3 foot long. How many sections will he have? 15 sections
Final Question
Ryan has a string that 2 4/5 feet long. He wants to divide it into pieces that are 1/3 feet long. How many EQUAL pieces will he have? 8 equal pieces (and one piece that is 2/5 foot long)