Question

How do you divide `1\frac { 1} { 6} \div \frac { 3} { 10}`?

Answer 1

`35/9`

Explanation:

Before dividing, change `1 1/6` into an `color(blue)"improper fraction"`

`rArr1 1/6=7/6`

`" We now evaluate " 7/6÷3/10`

The method for `color(blue)"division of fractions"` is.

`• " Leave the first fraction"`

`•" Change division to multiplication"`

`•" Invert (turn upside down) the second fraction"`

`•" Cancel any common factors if possible"`

`rArr7/6÷3/10=7/6xx10/3larr" multiply and invert"`

`=7/cancel(6)^3xxcancel(10)^5/3larr" cancelling"`

`=(7xx5)/(3xx3)=35/9larr" in simplest form"`

A fraction is in `color(blue)"simplest form"` when no other factor but 1 will divide into the numerator/denominator.