Question

What is 4 and 2/5 multiplied by 16.5

Answer 1

Method 1:

`4(2)/(5)=4(2\cdot2)/(5\cdot2)=4(4)/(10)=4.4\\\\4(2)/(5)\cdot16.5=4.4\cdot16.5=72.6`

Method 2:

`16.5=(165)/(10)=(165:5)/(10:5)=(33)/(2)\\\\4(2)/(5)=(4\cdot5+2)/(5)=(22)/(5)\\\\4(2)/(5)\cdot16.5=(22)/(5)\cdot(33)/(2)=(11)/(5)\cdot(33)/(1)=(363)/(5)=72(3)/(5)`