Question

What's the product of 42⁄3 and 111⁄4 ?

A. 83⁄7
B. 56⁄135
C. 442⁄12
D. 521⁄2

Answer 1

Change the mixed numbers to the impropert fractions:

`4(2)/(3)=(4\cdot3+2)/(3)=(14)/(3)\\\\11(1)/(4)=(11\cdot4+1)/(4)=(45)/(4)`

`4(2)/(3)\cdot11(1)/(4)=(14)/(3)\cdot(45)/(4)=(7)/(1)\cdot(15)/(2)=(105)/(2)=52(1)/(2)\to\boxed{D.}`