Question

Multiply.

1 1/5x6

answer with a mixed number in simplest form.

Answer 1

`=7(1)/(5)`

Explanation:

`1(1)/(5)\cdot \:6\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1(1)/(5)=(6)/(5)\\1(1)/(5)\cdot \:6\\1(1)/(5)=(1\cdot 5+1)/(5)=(6)/(5)\\(6)/(5)\cdot \:6\\\mathrm{Convert\:element\:to\:fraction}:\quad \:6=(6)/(1)\\=(6)/(5)\cdot (6)/(1)\\\mathrm{Multiply\:fractions}:\quad (a)/(b)\cdot (c)/(d)=(a\:\cdot \:c)/(b\:\cdot \:d)\\=(6\cdot \:6)/(5\cdot \:1)\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:6=36\\=(36)/(5\cdot \:1)`

`\mathrm{Multiply\:the\:numbers:}\:5\cdot \:1=5\\=(36)/(5)\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad (36)/(5)=7(1)/(5)\\=7(1)/(5)`

Answer 2

13.2

Explanation:

You make the six into a fraction and then you multiply straight through