Question

simplify 1/6 divided by 5/9 (Write final answers in lowest terms and mixed numbers, if necessary.) and please explain

Answer 1

`(3)/(10)`

Explanation:

to divide 2 fractions follow the procedure

• Leave the first fraction

• Change division to multiplication

• Turn the second fraction upside down

• Simplify by cancelling common factors, if possible

`(1)/(6)` ÷
`(5)/(9)`

=
`(1)/(6)` ×
`(9)/(5)` (cancel 6 and 9 by 3 )

=
`(1)/(2)` ×
`(3)/(5)`

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

=
`(3)/(10)` ← in simplest form

The fraction is in simplest form when no factor apart from 1 divides into the numerator/ denominator