Question

yesterday, hannah walked 7/12 of a mile from the swimming pool to the ice cream stand and 1/2 of a mile from the ice cream stand back home. how many miles did hannah walk in all? write your answer as a fraction or as a whole or mixed number.

Explanation:

Step1: Find a common denominator

The fractions are $\frac{7}{12}$ and $\frac{1}{2}$. The common - denominator of 12 and 2 is 12. Since $\frac{1}{2}=\frac{1\times6}{2\times6}=\frac{6}{12}$.

Step2: Add the fractions

We add $\frac{7}{12}$ and $\frac{6}{12}$. According to the rule of adding fractions with the same denominator $\frac{a}{c}+\frac{b}{c}=\frac{a + b}{c}$, so $\frac{7}{12}+\frac{6}{12}=\frac{7 + 6}{12}=\frac{13}{12}$.

Step3: Convert to a mixed - number if needed

$\frac{13}{12}=1\frac{1}{12}$

Answer:

$1\frac{1}{12}$