Question

M=

7/8 divided by m= 1/7

How do I solve for m?

Answer 1

`\large\boxed{m=(49)/(8)}`

Explanation:

`(7)/(8):m=(1)/(7)\\\\(7)/(8)\cdot(1)/(m)=(1)/(7)\\\\(7)/(8m)=(1)/(7)\qquad\text{cross multiply}\\\\(8m)(1)=(7)(7)\\\\8m=49\qquad\text{divide both sides by 8}\\\\m=(49)/(8)`