Answer:
8/27
Step-by-step explanation:
<h2><u>Fractions</u></h2>
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 <u>cross multiplication</u>:
fraction that the jar is full : number of cups of fruit
: ![2 \frac{1}{4}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B1%7D%7B4%7D)
x : 1
![\frac{2}{3} = 2 \frac{1}{4} x](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%20%3D%202%20%5Cfrac%7B1%7D%7B4%7D%20x)
convert
from a mixed fraction to an improper fraction
hence 2 1/4 = 9/4
solve
.
x = ![\frac{2}{3} / \frac{9}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%2F%20%20%5Cfrac%7B9%7D%7B4%7D)
<u>x = 8/27</u>
<h3><u>when the cup contains one cup of fruit its fraction 8/27 full </u></h3>