Question

leah drank \\(\frac{1}{4}\\) quart of orange juice, and anna drank \\(\frac{1}{3}\\) quart of orange juice. how many quarts did they drink together? partition each area model again to make like units.

Explanation:

Step1: Find a common denominator

The denominators are 4 and 3. The least common denominator of 4 and 3 is $4\times3 = 12$.

Step2: Convert fractions

Convert $\frac{1}{4}$ to twelfths: $\frac{1}{4}=\frac{1\times3}{4\times3}=\frac{3}{12}$.
Convert $\frac{1}{3}$ to twelfths: $\frac{1}{3}=\frac{1\times4}{3\times4}=\frac{4}{12}$.

Step3: Add the fractions

Add the two converted fractions: $\frac{3}{12}+\frac{4}{12}=\frac{3 + 4}{12}=\frac{7}{12}$.

Answer:

$\frac{7}{12}$ quarts