Question

How do you divide `(1\frac { 1} { 3} \div 2\frac { 2} { 9} )`?

Answer 1

`3/5`

Explanation:

I'm first going to put these fractions into imperfect form:

`4/3 -: 20/9`

When dividing fractions, we can instead multiply by the reciprocal:

`4/3 xx 9/20`

Before moving on, I'll cancel terms:

`cancel4/cancel3 xx (cancel3xx3)/(cancel4xx5)=3/5`

Answer 2

`3/5`

Explanation:

Turn both fractions into improper fractions
`4/3-:20/9`
Then we flip the 2nd fraction and change the divide sign to a multiplication sign
`4/3xx9/20`
We multiply the denominator together and we multiply the numerator together
`(4xx9)/(3xx20) = 36/30`
We can simplify this answer with the common factor of 3. Therefore the answer is `3/5`