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(3)/(4)=(8\cdot4+3)/(4)=(35)/(4)\\\\2(1)/(6)=(2\cdot6+1)/(6)=(13)/(6)`

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