Fractions XV
Multiplication of Fractions
with Mixed Numbers
How to Find a Fraction of a
Mixed Number

The first thing to remember is “of”
means multiply in mathematics.
of = x
Copyright © 2000 by Monica Yuskaitis
How to Find a Fraction of a
Mixed Number

Step 1 - When you see a fraction
problem you know when you read “of”
in the problem you multiply.
1 of
4
x
3
2
9
Copyright © 2000 by Monica Yuskaitis
How to Find a Fraction of a
Mixed Number

Step 2 – Change the mixed number
to an improper fraction.
27 + 4
+
x
1 x 3 4 31
2 27 9 9
Copyright © 2000 by Monica Yuskaitis
How to Find a Fraction of a
Mixed Number

Step 3 – Multiply the numerators
straight across.
1 x 31 = 31
2
9
Copyright © 2000 by Monica Yuskaitis
How to Find a Fraction of a
Mixed Number

Step 4 – Multiply the denominators
straight across.
1 x 31 = 31
2
9 18
Copyright © 2000 by Monica Yuskaitis
How to Find a Fraction of a
Mixed Number

Step 5 – Simplify your answer. In this
case change the improper fraction to a
mixed number.
13
118
1 x 31 = 31 18)31
2 9 18
18
13
Copyright © 2000 by Monica Yuskaitis
Multiply and Simplify
35 + 4
1 x 5 4 39 = 39
4 35 7 7 11 28
1 28
28) 39
+
x
Copyright © 2000 by Monica Yuskaitis
Multiply and Simplify
27 + 1
4 x 3 1 28 = 112
7 27 9 9 63
÷7
49
7
1 63 ÷7 = 9
63)112
+
x
Copyright © 2000 by Monica Yuskaitis
Multiply and Simplify
24 + 3
4 x 6 3 27 = 108
5 24 4 4 ÷ 20
8 4= 2
5 20 ÷ 4 5
20)108
+
x
Copyright © 2000 by Monica Yuskaitis
Multiply and Simplify You’re
24 + 1
shining!
2 x 6 1 25 = 50
5 24 4 4 20
÷10
10
1
2 20 ÷10 = 2
20)50
+
x
Copyright © 2000 by Monica Yuskaitis
Credits
Clipart from “Microsoft Clip
Gallery” located on the Internet
at http://cgl.microsoft.com/
clipgallerylive/default.asp
Copyright © 2000 by Monica Yuskaitis