Question

1. an occupational therapist (ot) is keeping a record on the physical activity of a cardiac patient. he records how far the patient walks each day. how many miles did the patient walk for the week? miles walked day of week

Explanation:

Step1: Find common denominator

The fractions are $\frac{1}{4},\frac{1}{3},\frac{1}{2},\frac{7}{12},\frac{3}{4},\frac{5}{6},1$. The common denominator of 4, 3, 2, 12, 4, 6 is 12.

Step2: Convert fractions

$\frac{1}{4}=\frac{1\times3}{4\times3}=\frac{3}{12}$, $\frac{1}{3}=\frac{1\times4}{3\times4}=\frac{4}{12}$, $\frac{1}{2}=\frac{1\times6}{2\times6}=\frac{6}{12}$, $\frac{3}{4}=\frac{3\times3}{4\times3}=\frac{9}{12}$, $\frac{5}{6}=\frac{5\times2}{6\times2}=\frac{10}{12}$, $1 = \frac{12}{12}$.

Step3: Sum the fractions

$\frac{3}{12}+\frac{4}{12}+\frac{6}{12}+\frac{7}{12}+\frac{9}{12}+\frac{10}{12}+\frac{12}{12}=\frac{3 + 4+6+7+9+10+12}{12}=\frac{51}{12}=\frac{17}{4} = 4\frac{1}{4}$

Answer:

$4\frac{1}{4}$ miles