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# A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?

Jan 2, 2017

1 cup of milk is used with $\frac{3}{4}$ cup of water

#### Explanation:

A comparison between the cups of milk and cups of water can be written as a ratio:

Note that: $\frac{1}{3} > \frac{1}{4}$

$\text{ }$milk : water

$\text{ "1/3 : 1/4" } \leftarrow \times 12$ to get rid of fractions

$\frac{12}{1} \times \frac{1}{3} : \frac{12}{1} \times \frac{1}{4}$

$\text{ } 4 : 3$

4 cups of milk are used with 3 cups of water $\text{ } \leftarrow \div 4$

1 cup of milk is used with $\frac{3}{4}$ cup of water