ada is making rice. the instructions call for 2\\frac{1}{4} cups of water for 1 cup of rice. ada is using…

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. make a prediction about the amount of water ada needs. ada needs less than 2\\frac{1}{4} cups of water. how much water should ada use for \\frac{1}{3} cup of rice? ada should use cup of water.

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. make a prediction about the amount of water ada needs. ada needs less than 2\\frac{1}{4} cups of water. how much water should ada use for \\frac{1}{3} cup of rice? ada should use cup of water.

Answer

Explanation:

Step1: Convert mixed - number to improper fraction

$2\frac{1}{4}=\frac{2\times4 + 1}{4}=\frac{9}{4}$

Step2: Set up proportion

The ratio of water to rice is $\frac{9}{4}$ cups of water per 1 cup of rice. Let $x$ be the amount of water for $\frac{1}{3}$ cup of rice. We have the proportion $\frac{x}{\frac{1}{3}}=\frac{\frac{9}{4}}{1}$.

Step3: Solve for $x$

Cross - multiply: $x=\frac{9}{4}\times\frac{1}{3}$. Then $x = \frac{9\times1}{4\times3}=\frac{3}{4}$

Answer:

$\frac{3}{4}$