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

Answer:

8/27

Step-by-step 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

Answer 2

Answer:

8/27

Step-by-step 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

                 $\frac{2}{3}$                                         :                        $2 \frac{1}{4}$

                 x                                         :                        1

$\frac{2}{3} = 2 \frac{1}{4} x$

convert $2 \frac{1}{4}$ from a mixed fraction to an improper fraction

hence 2 1/4  = 9/4

solve

$\frac{2}{3} = \frac{9}{4} x$.

x = $\frac{2}{3} / \frac{9}{4}$

x = 8/27

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