Adding Fractions: Calculate 2/3 + 2/7 Hour in Food Preparation Time

To solve this problem, we will follow these steps:

• Step 1: Identify the denominators of the fractions, which are 3 and 7.
• Step 2: Find the least common multiple (LCM) of these denominators.
• Step 3: Rewrite each fraction using this common denominator.
• Step 4: Add the modified fractions together.
• Step 5: Simplify the final result if possible.

Let's apply these steps:

Step 1: The denominators are 3 and 7.

Step 2: The LCM of 3 and 7 is 21.
21 is the smallest number that both 3 and 7 divide without a remainder.

Step 3: Convert each fraction to have a denominator of 21:
For $\frac{2}{3}$: Multiply both numerator and denominator by 7 to get $\frac{14}{21}$.
For $\frac{2}{7}$: Multiply both numerator and denominator by 3 to get $\frac{6}{21}$.

Step 4: Add the fractions:
$\frac{14}{21} + \frac{6}{21} = \frac{14 + 6}{21} = \frac{20}{21}$.

Step 5: The fraction $\frac{20}{21}$ is already in its simplest form.

Therefore, Chris spends a total of $\frac{20}{21}$ of an hour preparing food.