Adding Fractions: Calculate 1/6 + 2/3 Hour in Food Preparation

Question

A mother spends 16 \frac{1}{6} of an hour preparing a salad and 23 \frac{2}{3} of an hour cooking french fries.

How much time does she spend preparing food (as a fraction of an hour)?

Step-by-Step Solution

The mother spends time preparing both salad and french fries. We need to sum up these two times:

Given the times:

  • Salad: 16 \frac{1}{6} hour
  • French fries: 23 \frac{2}{3} hour

To add these fractions, we need a common denominator. The denominators are 6 and 3. The least common multiple of 6 and 3 is 6.

Convert 23 \frac{2}{3} to a fraction with a denominator of 6:

23=2×23×2=46 \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}

Now, add the fractions:

16+46=1+46=56 \frac{1}{6} + \frac{4}{6} = \frac{1 + 4}{6} = \frac{5}{6}

Therefore, the total time the mother spends preparing food is 56 \frac{5}{6} of an hour.

Answer

56 \frac{5}{6}