Question

ada is making rice. the instructions call for $2\frac{1}{4}$ cups of water for 1 cup of rice. ada is using only $\frac{1}{3}$ cup of rice.
(1) make a prediction about the amount of water ada needs.
(2) ada needs less than $2\frac{1}{4}$ cups of water.
(3) how much water should ada use for $\frac{1}{3}$ cup of rice?
(4) ada should use \boxed{} cup of water.

Explanation:

Step1: Convert mixed number to improper fraction

The water needed for 1 cup of rice is \(2\frac{1}{4}\) cups. Convert \(2\frac{1}{4}\) to an improper fraction: \(2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{9}{4}\).

Step2: Calculate water for \(\frac{1}{3}\) cup of rice

Since the ratio of water to rice is constant, for \(\frac{1}{3}\) cup of rice, the water needed is \(\frac{9}{4}\times\frac{1}{3}\).
Simplify the multiplication: \(\frac{9\times1}{4\times3}=\frac{9}{12}=\frac{3}{4}\).

Answer:

\(\frac{3}{4}\)