Multiplying Fractions Study Guide

Name __________________
Saint _______________
Date ___________
Multiplying Fractions Study Guide
*I can multiply a fraction by a whole number and write the products in simplest form.
Write ALL of your answers in simplest form.
5
1) of 54 = _______
6
3
2) 16 x = _______
8
2
3) of 72 = _______
9
*I can multiply two fractions using a visual.
Draw a visual to show the multiplication. Then, write your final answer in
simplest form.
3
2
5
7
4) of
= _______
3
2
4
9
5) x = _______
Write the multiplication sentence for each visual.
6) ________________
7) _________________
*I can multiply two fractions using cross canceling.
Answer the following multiplication problems. Use cross cancelation when
possible. Show your work! Write your answers in simplest form.
3
1
4
4
8) x = ________
11)
10
21
x
3
10
= ________
5
3
8
10
9) x
= ________
12)
3
49
x
7
21
1
3
2
7
10) x =________
= ________
13)
5
11
x
33
35
= ________
*I can show the multiplication of a whole number and a mixed number using the distributive
property.
Find each product. Show ALL of your work using the distributive property. Write
your answer in simplest form.
5
14) 2 x 9 = _________
6
15) 3
1
12
x 6 = _________
16) 5 x 7
3
16
= _________
*I can multiply mixed numbers and write the products in simplest form.
Find each product. Write the product in simplest form.
1
17) 5 x 9 = _________
4
2
7
3
8
18) 6 x 4 = _________
1
3
3
5
19) 5 x 6 = _________
1
3
2
4
20) Juanita’s dog weighs 2 times as much as Caleb’s dog. Caleb’s dog weighs 8
pounds. How much does Juanita’s dog weigh?
3
21) Mrs. Damico’s bookshelf has a set of 16 books on it. Each book is 1 inches
8
wide. If the books take the full length of the bookshelf with no space left over,
how long is the shelf?
2
22) Some frilled lizards grow to be 90 cm long. If of its length is its tail, how long
3
is the tail? How long is the body?
Name _________________ Saint _________________ Date _________
Dividing Fractions Study Guide
I can draw a visual to show division of fractions.
5
1) Show 6 ÷ using a number line.
7
2
2) Show 8 ÷ using a number line.
3
5
3) Show ÷ 4 using a picture.
6
4
4) Show ÷ 3 using a picture.
7
5) Keiko divided a 3/8 gallon of milk evenly into 5 glasses. Draw a picture to
find what fraction of a gallon is in each glass.
6) A car trip is 6 hours long. Every 2/3 of an hour, Brian changes the radio
station. Use a number line to find how many times Brian changes the radio
station during the trip.
I can find the reciprocal of a fraction, mixed number, or whole number.
7) Find the reciprocal for each fraction, mixed number, or whole number.
3
a.
5

b. 5 
1
c. 
5
6
d. 5 
7
I can divide fractions, whole numbers, and mixed numbers using keep, change,
flip.
3
1
8
8
3
7
4
8
8) 1 ÷ 4 = ________
9) 6 ÷ 1 = ________
10)
1
4
÷
1
4
= ________
3
7
4
8
11) 6 ÷ = ________
12)
13)
14)
2
3
2
5
1
2
÷
÷
÷
1
4
1
8
2
4
= ________
= ________
= ________
7
15) 6 ÷ 1 = ________
8
16)
3
4
÷ 6 = ________
8
17) 6 ÷ 3 = ________
9
18)
3
4
÷ 4= ________
3
7
4
8
19) 6 ÷ 1 = ________
7
20) 5 ÷ 1 = ________
8
21) The biggest uncut diamond ever found weighed 1 ½ pounds. If this
diamond were cut into 3 equal pieces, how much would each piece weigh?
3
1
4
2
22) How many feet pieces can you cut from a 6 foot ribbon?
1
3
8
4
23) How many pint bottles can be filled from a pint bottle of water?
24) Shasta has 3 lb of wax and uses
candles can she make?
3
8
lb to make one candle. How many