Question

Divide
`4(2)/(15)` by 3.1.

Answer 1

let's firstly convert the mixed fraction to improper fraction and the decimal one to a fraction.

`\stackrel{mixed}{4(2)/(15)}\implies \cfrac{4\cdot 15+2}{15}\implies \stackrel{improper}{\cfrac{62}{15}}\hspace{10em} 3.\underline{1}\implies \cfrac{31}{1\underline{0}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{62}{15}/ \cfrac{31}{10}\implies \cfrac{62}{15}\cdot \cfrac{10}{31}\implies \cfrac{62}{31}\cdot \cfrac{10}{15}\implies \cfrac{2}{1}\cdot \cfrac{2}{3}\implies \cfrac{4}{3}\implies 1(1)/(3)`

Answer 2

`\fbox{1.333333}`

`4(2)/(15) /3.1`

Simplify:

`4(2)/(15) /3.1`

`=1.333333`