Question

When a jar of fruit is 2/3 of the way full it can hold 2 1/4 cups of fruit what fraction of the jar is full when it only contains one cup of fruit

Answer 1

8/27

Explanation:

Fractions

a jar of fruit is 2/3 of the way full it can hold 2 1/4 cups of fruit

what fraction of the jar is full when it only contains one cup of fruit?

by using these statements , we can solve this through cross multiplication:

fraction that the jar is full : number of cups of fruit

`(2)/(3)` :
`2 (1)/(4)`

x : 1

`(2)/(3) = 2 (1)/(4) x`

convert
`2 (1)/(4)` from a mixed fraction to an improper fraction

hence 2 1/4 = 9/4

solve

`(2)/(3) = (9)/(4) x`.

x =
`(2)/(3) / (9)/(4)`

x = 8/27

when the cup contains one cup of fruit its fraction 8/27 full

Answer 2

8/27

Explanation:

if 2/3 full = 2 1/4 (9/4) cups of fruit,

then 1 cup of fruit = 2/3 ÷ 9/4

= 2/3 × 4/9

= 8/27

it will 8/27 full to hold 1 cup of fruit