Lesson 10.7 Multiply Mixed Numbers
I can multiply mixed numbers
Steps
1. Convert the mixed number(s) into fraction(s)
a. Whole # x denominator + numerator = numerator
b. Denominator = denominator
2. Multiply the numerators: that answer is the new numerator
3. Multiply the denominators: that answer is the new denominator
4. Put answer into simplest form
Example:
1
2
4
3
4 × 3 = (convert mixed #’s to improper fractions)
(4 x 4 + 1 = 17)
1
17
4
4
4 =
17
4
×
11
17×11
4×3
=
187
12
12)187
187
12
= 15
(3 x 3 + 2 = 11)
2
11
3
3
3 =
=
3
&
(multiply numerators and denominators)
(simplify – divide to simplify improper fractions)
7
12
Example:
1
3
2
4
1 × 3 = (convert mixed #’s to improper fractions)
(1 x 2 + 1 = 3)
1
3
2
2
1 =
3
2
×
15
4
=
8
=5
5
8
(3 x 4 + 3 = 15)
3
15
4
4
3 =
3×15
12)187
45
&
2×4
=
45
8
(multiply numerators and denominators)
(simplify – divide to simplify improper fractions)