Question

What is the product of 4 2/3 and 11 1/4?

a. 44 2/12
b. 8 3/7
c. 56/135
d. 52 1/2

Answer 1

`4(2)/(3)\ converted\ to\ improper\ fraction\\\\4(2)/(3)=4+(2)/(4)=(4\cdot3)/(3)+(2)/(3)=(12)/(3)+(2)/(3)=(12+2)/(3)=(14)/(3)\\\\11(1)/(4)\ converted\ to\ improper\ fraction\\\\11(1)/(4)=11+(1)/(4)=(11\cdot4)/(4)+(1)/(4)=(44)/(4)+(1)/(4)=(44+1)/(4)=(45)/(4)\\\\the\ product:\\\\4(2)/(3)\cdot11(1)/(4)=(\\ot14^7)/(3)\cdot(45)/(\\ot4_2)=(7)/(\\ot3_1)\cdot(\\ot45^(15))/(2)=(7)/(1)\cdot(15)/(2)`


`=(7\cdot15)/(1\cdot2)=(105)/(2)=(104+1)/(2)=(104)/(2)+(1)/(2)=52+(1)/(2)\\\\\huge\boxed{=52(1)/(2)\to\boxed{d.}}`