Question

1. rita walks (\frac{3}{4}) mile to the store. then she walks (\frac{4}{7}) mile to the community center. how far does rita walk all together?

a. (\frac{6}{35}) mile
b. (\frac{29}{35}) mile
c. (\frac{5}{12}) mile
d. (\frac{17}{12}) miles

Explanation:

Step1: Identify distances to add

Distances: $\frac{2}{5}$ mile, $\frac{3}{7}$ mile

Step2: Find common denominator

Least common denominator of 5 and 7 is 35.

Step3: Rewrite fractions

$\frac{2}{5} = \frac{2\times7}{5\times7} = \frac{14}{35}$, $\frac{3}{7} = \frac{3\times5}{7\times5} = \frac{15}{35}$

Step4: Add the fractions

$\frac{14}{35} + \frac{15}{35} = \frac{14+15}{35} = \frac{29}{35}$

Answer:

B. $\frac{29}{35}$ mile