Question

What is 8 3/4 ÷ 2 1/6? A. 3 1/8 B. 3 25/26 C. 4 1/26 D. 4 1/8

Answer 1

Convert mixed numbers to improper fractions:

$8\dfrac{3}{4}=\dfrac{8\cdot4+3}{4}=\dfrac{35}{4}\\\\2\dfrac{1}{6}=\dfrac{2\cdot6+1}{6}=\dfrac{13}{6}$

$8\dfrac{3}{4}\div2\dfrac{1}{6}=\dfrac{35}{4}\div\dfrac{13}{6}=\dfrac{35}{4\!\!\!\!\diagup_2}\cdot\dfrac{6\!\!\!\!\diagup^3}{13}=\dfrac{(35)(3)}{(2)(13)}=\dfrac{105}{26}=4\dfrac{1}{26}\to\boxed{C.}$