Answer:
1 cup of water will fill = [tex]\frac{8}{9}[/tex] of the plastic container.
Step-by-step explanation:
Given :
[tex]\frac{3}{4}[/tex] of a cup of water fills [tex]\frac{2}{3}[/tex] of a plastic container.
To find number of containers that can be filled with 1 cup of water, we will use unitary method.
if [tex]\frac{3}{4}[/tex] of a cup of water fills [tex]\frac{2}{3}[/tex] of a plastic container.
Then 1 cup of water will fill = [tex]\frac{2}{3}\div \frac{3}{4}[/tex] of a container.
Dividing fractions.
[tex]\frac{2}{3}\div \frac{3}{4}[/tex]
Replacing division with multiplication by taking reciprocal of the divisor.
[tex]\frac{2}{3}\times \frac{4}{3}[/tex]
Multiplying the numerators and denominators.
[tex]\frac{2\times4}{3\times3} [/tex]
[tex]\frac{8}{9}[/tex]
∴ 1 cup of water will fill = [tex]\frac{8}{9}[/tex] of the plastic container.
