Question

As simple as it should be i don't quite understand this.

i did \frac{5}{9}\div \frac{1}{3} but got 5/3.

Answer 1

`(5)/(3) = 1(2)/(3)`

Explanation:

`(5)/(9) /(1)/(3)`

=
`(5)/(9) X (3)/(1)` Multiply across. Multiply the denominators by each other to make the denominator in the answer. Multiply the two numerators for the numerator in the answer.

=
`(15)/(9)` Simplify by dividing the entire fraction by 5.

=
`(5)/(3)` This fraction is in improper form because the numerator is greater than the denominator. Change it the mixed number form.

For the number of times 5 can divide by 3, take out 1 whole.

5 goes into 3 one time only with remainder 2.

`(5)/(3) = 1(2)/(3)`