Question

Simplify -2/9 ÷ 3 1/4

Answer 1

-8/117

Explanation:

`(-2)/(9) /3(1)/(4) \\\\`

-first simplify 3 1/4

-simply multiply 4 by 3 and add 1. This is how you convert mixed fractions to whole fractions. Multipy denominator by whole number and add the numerator. The denominator stays the same so this will become

=13/4

- next because you're dividing two fractions, it is easier to take reciprocal of the denominator. You flip the fraction and change the sign. So instead of dividing by 13/4, you multiply by 4/13

- lets move the negative fraction (-2/9) to rigth hand side to make things easier to visualize. so our expressions right now will be:

=
`(4)/(13) *(-2)/(9)`

-now multiply like normal

= -8/117

Answer 2

`- (2)/(9) / 3 (1)/(4) \\ \\ \dashrightarrow \: - ( 2)/(9) / (13)/(4) \\ \\ this \: can \: also \: \: be \: written \: as \: \\ \dashrightarrow \: - (2)/(9) * (4)/(13) \\ \\ \dashrightarrow \: \boxed{ \: - (8)/(117) }`

hope helpful! :)