Answer:
8/27
Step-by-step explanation:
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
[tex]\frac{2}{3}[/tex] : [tex]2 \frac{1}{4}[/tex]
x : 1
[tex]\frac{2}{3} = 2 \frac{1}{4} x[/tex]
convert [tex]2 \frac{1}{4}[/tex] from a mixed fraction to an improper fraction
hence 2 1/4 = 9/4
solve
[tex]\frac{2}{3} = \frac{9}{4} x[/tex].
x = [tex]\frac{2}{3} / \frac{9}{4}[/tex]
x = 8/27
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
