Divide. Be sure your answer is in simplest form.

1. 12 divided by [tex]\frac{4}{5}[/tex] = __

2. [tex]\frac{3}{4}[/tex] divided by [tex]\frac{7}{8}[/tex] = __

3. 8 divided by [tex]\frac{6}{7}[/tex] = __

4. [tex]\frac{8}{11}[/tex] divided by [tex]\frac{4}{7}[/tex] = __

5. 4 divided by [tex]\frac{5}{7}[/tex] = __

6. [tex]\frac{3}{4}[/tex] divided by [tex]\frac{1}{12}[/tex] = __

To divide fractions, multiply the dividend by the reciprocal of the divisor.
12 ∗ 4 5 ​ = 4 60 ​ = 15
4 3 ​ ∗ 7 8 ​ = 28 24 ​ = 7 6 ​
8 ∗ 6 7 ​ = 6 56 ​ = 3 28 ​
11 8 ​ ∗ 4 7 ​ = 44 56 ​ = 11 14 ​
4 ∗ 5 7 ​ = 5 28 ​
4 3 ​ ∗ 1 12 ​ = 4 36 ​ = 9

Answered by iloveonedirection | 2024-06-10

(12)÷(4/5)=12*(5/4)=60/4=15
(3/4)÷(7/8)=3/4*8/7=24/28=12/14=6/7
(8)÷(6/7)=8*(7/6)=56/6=28/3
(8/11)÷(4/7)=8/11*7/4=56/44=14/11
(4)÷(5/7)=4*(7/5)=28/5
(3/4)÷(1/12)=3/4*12/1=36/4=9

Answered by Anonymous | 2024-06-10

To divide by a fraction, multiply by its reciprocal. The answers to the given problems are 15, 7 6 ​ , 3 28 ​ , 11 14 ​ , 5 28 ​ , and 9. Each step involves converting the division into multiplication by flipping the second fraction.
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Answered by iloveonedirection | 2025-01-17