Step-by-step explanation:
First, turn all the mixed to improper
(denominator × whole number + numerator)
1. 14 ÷ 8/3 (reciprocal)
14 × 3/8
42/8 (both divisible by 2)
= 21/4 or 5 ¼
2. 11/4 ÷ 46/11
11/4 × 11/46
= 121/184
3. ⅔ ÷ 5
= ⅔ × ⅕
= 2/15
5. 11/6 ÷ 18/5
11/6 × 5/18
= 55/108
6. ½ ÷ 12/5
½ × 5/12
= 5/24
7. 21/8 ÷ ¼
21/8 ÷ 4/1
82/8 (divisible by 2)
= 41/4 or 10 ¼
8. ½ ÷ 12/5 ÷ 13/4
½ × 5/12 × 4/13
5/24 × 4/13 (4 and 24 are divisible by 4)
5/6 × 1/13
= 5/78
9. 8 ÷ 12/4 (simplify this) ÷ ¼
8 × ⅓ × ¼
8/3 × 1/4 (8 and 4 are divisible by 4)
2/3 × 1/1
= 2/3
10. 3/2 ÷ 9/5 ÷ 3
3/2 × 5/9 × ⅓ (3 and 9 are both divisible by 3)
1/2 × 5/3 × ⅓
5/6 × ⅓
= 5/18
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Answers & Comments
Step-by-step explanation:
First, turn all the mixed to improper
(denominator × whole number + numerator)
1. 14 ÷ 8/3 (reciprocal)
14 × 3/8
42/8 (both divisible by 2)
= 21/4 or 5 ¼
2. 11/4 ÷ 46/11
11/4 × 11/46
= 121/184
3. ⅔ ÷ 5
= ⅔ × ⅕
= 2/15
5. 11/6 ÷ 18/5
11/6 × 5/18
= 55/108
6. ½ ÷ 12/5
½ × 5/12
= 5/24
7. 21/8 ÷ ¼
21/8 ÷ 4/1
82/8 (divisible by 2)
= 41/4 or 10 ¼
8. ½ ÷ 12/5 ÷ 13/4
½ × 5/12 × 4/13
5/24 × 4/13 (4 and 24 are divisible by 4)
5/6 × 1/13
= 5/78
9. 8 ÷ 12/4 (simplify this) ÷ ¼
8 × ⅓ × ¼
8/3 × 1/4 (8 and 4 are divisible by 4)
2/3 × 1/1
= 2/3
10. 3/2 ÷ 9/5 ÷ 3
3/2 × 5/9 × ⅓ (3 and 9 are both divisible by 3)
1/2 × 5/3 × ⅓
5/6 × ⅓
= 5/18