Question

the camp cook made 6 3/10 pots of chicken soup. each serving of soup is 7/10 of a pot. how many servings of chicken soup did the cook make? write your answer as a fraction or as a whole or mixed number. □ servings

Explanation:

Step1: Convert mixed number to improper fraction

The total pots of soup is \( 6\frac{3}{10} \). To convert this mixed number to an improper fraction, we use the formula \( a\frac{b}{c}=\frac{a\times c + b}{c} \). So, \( 6\frac{3}{10}=\frac{6\times10 + 3}{10}=\frac{63}{10} \).

Step2: Divide total soup by serving size

We need to find the number of servings, which is total soup divided by serving size. The serving size is \( \frac{7}{10} \) of a pot. So we calculate \( \frac{63}{10}\div\frac{7}{10} \). When dividing fractions, we multiply by the reciprocal, so \( \frac{63}{10}\times\frac{10}{7} \).

Step3: Simplify the multiplication

The 10 in the numerator and denominator cancels out, leaving \( \frac{63}{7} \), which simplifies to 9.

Answer:

9