Question

Perform the indicated operation. 1 3/4 · 7/3? a.3/4 b.41/12 c.121/12 d.23/4

Answer 1

`\huge\boxed{b.\ 4(1)/(12)}`

Explanation:

`1(3)/(4)\cdot(7)/(3)`

convert the mixed number to the improper fraction:

`1(3)/(4)=(1\cdot4+3)/(4)=(7)/(3)`

multiply:

`=(7)/(4)\cdot(7)/(3)=(7\cdot7)/(3\cdot4)=(49)/(12)=(48+1)/(12)=(48)/(12)+(1)/(12)=4(1)/(12)`