Question

Work out 1 3/4 x 4 1/6

Answer 1

Convert mixed number to improper fraction:

`1(3)/(4)=(1\cdot4+3)/(4)=(4+3)/(4)=(7)/(4)\\\\4(1)/(6)=(4\cdot6+1)/(6)=(24+1)/(6)=(25)/(6)\\\\1(3)/(4)*4(1)/(6)=(7)/(4)*(25)/(6)=(7*25)/(4*6)=(175)/(24)=(168+7)/(24)=7(7)/(24)`