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Sagot :
⁷/₁₆ ÷ (3¹/₂ ÷ ¹/₂)
⁷/₁₆ ÷ (⁷/₂ ÷ ¹/₂)
⁷/₁₆ ÷ (⁷/₂ × ¹/₂)
⁷/₁₆ ÷ ⁷/₄
⁷/₁₆ × ⁴/₇
¹/₄
⁷/₁₆ ÷ (⁷/₂ ÷ ¹/₂)
⁷/₁₆ ÷ (⁷/₂ × ¹/₂)
⁷/₁₆ ÷ ⁷/₄
⁷/₁₆ × ⁴/₇
¹/₄
Start with what's inside the parentheses.
31/2 / 1/2
When dividing fractions, you are actually multiplying the reciprocal [reciprocal: what you get when you switch the place of the numerator and denominator]
So here's what that will look like:
31/2*2/1
Now multiply the numerators [first numbers] together, and the denominators [next numbers] together.
31/2*2/1=62/2
Now divide:
62/2=31
So now you've figured out what's inside the parentheses, place that in your original equation:
7/16 / 31
Use multiplying by the reciprocal to divide:
7/16*1/31
(the reciprocal of a whole number is 1/that number)
Multiply the numerators and the denominators:
7/16*1/31=7/496
And there's your answer.
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