Question

if 3/4 of a cup of water fills 2/3 of a plastic container, how many containers can you fill with one cup of water?​

Answer 1

Answer:

1 cup of water will fill = $\frac{8}{9}$ of the plastic container.

Step-by-step explanation:

Given :

$\frac{3}{4}$ of a cup of water fills $\frac{2}{3}$ of a plastic container.

To find number of containers that can be filled with 1 cup of water, we will use unitary method.

if $\frac{3}{4}$ of a cup of water fills $\frac{2}{3}$ of a plastic container.

Then 1 cup of water will fill = $\frac{2}{3}\div \frac{3}{4}$ of a container.

Dividing fractions.

$\frac{2}{3}\div \frac{3}{4}$

Replacing division with multiplication by taking reciprocal of the divisor.

$\frac{2}{3}\times \frac{4}{3}$

Multiplying the numerators and denominators.

$\frac{2\times4}{3\times3}$

$\frac{8}{9}$

∴ 1 cup of water will fill = $\frac{8}{9}$ of the plastic container.