Answer:
[tex]\large\boxed{m=\dfrac{49}{8}}[/tex]
Step-by-step explanation:
[tex]\dfrac{7}{8}:m=\dfrac{1}{7}\\\\\dfrac{7}{8}\cdot\dfrac{1}{m}=\dfrac{1}{7}\\\\\dfrac{7}{8m}=\dfrac{1}{7}\qquad\text{cross multiply}\\\\(8m)(1)=(7)(7)\\\\8m=49\qquad\text{divide both sides by 8}\\\\m=\dfrac{49}{8}[/tex]
