Question

How to i do 7/16÷(31/2÷1/2)

Answer 1

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.

Answer 2

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