7th Grade Math · Unit 2
Multiply a fraction by a fraction, by a whole number, and by a mixed number.
Multiply straight across
Multiply the numerators. Multiply the denominators.
ab × cd = a × cb × d
A whole number over 1
A whole number can be written as a fraction by writing the number over 1.
4 = 41
Change a mixed number first
Write a mixed number as an improper fraction before you multiply.
214 = 94
Mixed numbers at the end
If the product is greater than 1, write it as a mixed number.
83 = 223
No reducing is needed. Multiply the numerators and the denominators.
Multiply straight across.
23 × 45 = 2 × 43 × 5
= 815
Answer: 815
Multiply straight across.
12 × 35 = 1 × 32 × 5
= 310
Answer: 310
Multiply straight across.
27 × 35 = 2 × 37 × 5
= 635
Answer: 635
Multiply straight across.
34 × 15 = 3 × 14 × 5
= 320
Answer: 320
Multiply straight across.
29 × 45 = 2 × 49 × 5
= 845
Answer: 845
Multiply straight across.
38 × 57 = 3 × 58 × 7
= 1556
Answer: 1556
Write the whole number as a fraction over 1. Write a mixed number when the product is greater than 1.
A whole number can be written as a fraction by writing the number over 1.
4 = 41
Multiply straight across.
41 × 23 = 4 × 21 × 3
= 83
8 ÷ 3 = 2 with remainder 2.
= 223
Answer: 223
A whole number can be written as a fraction by writing the number over 1.
5 = 51
Multiply straight across.
51 × 23 = 5 × 21 × 3
= 103
10 ÷ 3 = 3 with remainder 1.
= 313
Answer: 313
A whole number can be written as a fraction by writing the number over 1.
3 = 31
Multiply straight across.
31 × 34 = 3 × 31 × 4
= 94
9 ÷ 4 = 2 with remainder 1.
= 214
Answer: 214
A whole number can be written as a fraction by writing the number over 1.
2 = 21
Multiply straight across.
21 × 15 = 2 × 11 × 5
= 25
Answer: 25
A whole number can be written as a fraction by writing the number over 1.
7 = 71
Multiply straight across.
71 × 23 = 7 × 21 × 3
= 143
14 ÷ 3 = 4 with remainder 2.
= 423
Answer: 423
A whole number can be written as a fraction by writing the number over 1.
4 = 41
Multiply straight across.
41 × 35 = 4 × 31 × 5
= 125
12 ÷ 5 = 2 with remainder 2.
= 225
Answer: 225
Write the mixed number as an improper fraction first. Write a mixed number when the product is greater than 1.
Write the mixed number as an improper fraction.
214 = 94
Multiply straight across.
94 × 35 = 9 × 34 × 5
= 2720
27 ÷ 20 = 1 with remainder 7.
= 1720
Answer: 1720
Write the mixed number as an improper fraction.
312 = 72
Multiply straight across.
72 × 35 = 7 × 32 × 5
= 2110
21 ÷ 10 = 2 with remainder 1.
= 2110
Answer: 2110
Write the mixed number as an improper fraction.
125 = 75
Multiply straight across.
75 × 34 = 7 × 35 × 4
= 2120
21 ÷ 20 = 1 with remainder 1.
= 1120
Answer: 1120
Write the mixed number as an improper fraction.
223 = 83
Multiply straight across.
83 × 25 = 8 × 23 × 5
= 1615
16 ÷ 15 = 1 with remainder 1.
= 1115
Answer: 1115
Write the mixed number as an improper fraction.
313 = 103
Multiply straight across.
103 × 27 = 10 × 23 × 7
= 2021
Answer: 2021
Write the mixed number as an improper fraction.
412 = 92
Multiply straight across.
92 × 37 = 9 × 32 × 7
= 2714
27 ÷ 14 = 1 with remainder 13.
= 11314
Answer: 11314
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