Multiplying and Dividing Fractions and Decimals Study Guide B
Divide. Write you answer in simplest form.
1. 6 ÷ 1/3
2. 8/11 ÷ 1/2
3. 5/8 ÷ 2 1/4
4. 1 3/6 ÷ 1 3/4
Multiply.
5. 0.8 x 3
6. 0.056 x 5
7. 0.25 x 8
8. 1.6 x 2.5
Divide.
9. 32 ÷ 0.25
10. 0.73 ÷ 0. 4
Solve. Show your work.
11. If you cut 12 ounces of butter into 1/3 ounce pieces, how many 1/3 ounce pieces of butter will you have?
12. A party-sized submarine sandwich is prepared for a dinner. It is 5 1/4 feet long and is divided into 1/4 foot pieces. How many pieces of sandwich are there?
13. The cost of 3.5 pounds of cheese is $6.40. Mrs. Paul bought 10.5 pounds of cheese for her deli. How much money did Mrs. Paul spend?
14. Of a group of students, 4/9 of them are boys. The girls are put into groups so that each group had 1/18 of the total number of students. How many groups of girls are there?
15. Kate uses decals to decorate 5 autograph albums and 2 photo albums. She uses 2/3 of the decals on the autograph albums and 2/5 of the remaining decals on the photo albums. She has 6 decals left. How many decals does Kate use on each autograph album?
ANSWER KEY:
1. 6 ÷ 1/3 = 6 x 3/1 = 18
2. 8/11 ÷ 1/2 = 8/11 x 2/1 = 16/11 = 1 5/11
3. 5/8 ÷ 2 1/4 = 5/8 ÷ 9/4 = 5/8 x 4/9 = 5/18
4. 1 3/6 ÷ 1 3/4 = 9/6 ÷ 7/4 = 9/6 x 4/7 = 18/21
5. 0.8 x 3 = 2.4
6. 0.056 x 5 = 0.28
7. 0.25 x 8 = 2
8. 1.6 x 2.5 = 4
9. 32 ÷ 0.25 = 80
10. 0.73 ÷ 0. 4 = 1.825
11. If you cut 12 ounces of butter into 1/3 ounce pieces, how many 1/3 ounce pieces of butter will you have?
12 ÷ 1/3 = 12 x 3 = 36
12. A party-sized submarine sandwich is prepared for a dinner. It is 5 1/4 feet long and is divided into 1/4 foot pieces. How many pieces of sandwich are there?
21/4 ÷ 1/4 = 21/4 x 4/1 = 21 pieces.
13. The cost of 3.5 pounds of cheese is $6.40. Mrs. Paul bought 10.5 pounds of cheese for her deli. How much money did Mrs. Paul spend?
10.5 ÷ 3.5 = 3 since 3.5 x 3 = 10.5 $6.40 x 3 = $19.20
14. Of a group of students, 4/9 of them are boys. The girls are put into groups so that each group had 1/18 of the total number of students. How many groups of girls are there?
4/9 boys All - 4/9 = 5/9 girls. 5/9 = ?/18 = 10/18 so 10 groups.
15. Kate uses decals to decorate 4 autograph albums and 2 photo albums. She uses 2/3 of the decals on the autograph albums and 2/7 of the remaining decals on the photo albums. She has 10 decals left. How many decals does Kate use on each autograph album?
All - 2/3 Autograph albums = 1/3 remaining
2/7 of remaining : photo albums
5/7 of remaining not used: 10 decals 5 x 2 = 10
2/7: 2 units x 2 = 4
1/3 remaining = 10 + 4 = 14 decals
2/3 = 14 x 2= 28 decals 28/ 4 albums = 7 decals per album.