Question

What is 4 1/2 * 2 1/7 as a mixed number in simplest form?

Answer 1

9 9/14

Explanation:

`4(1)/(2)*\:2(1)/(7)\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4(1)/(2)=(9)/(2)\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2(1)/(7)=(15)/(7)\\(9)/(2)*(15)/(7)\\\\\mathrm{Multiply\:fractions}:\\\quad (a)/(b)*(c)/(d)=(a\:*\:c)/(b\:*\:d)\\\\=(9*\:15)/(2*\:7)\\\\=(135)/(14)\\\\`

`\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad (135)/(14)\\=9(9)/(14)`

Answer 2

It would be 9 9/14 :)