Question

you are a nutritionist helping a client with meal planning. a menu plan includes $\frac{1}{4}$ cup of vegetables for breakfast, $1\frac{3}{4}$ cups of vegetables for lunch, and $1\frac{1}{2}$ cups of vegetables for dinner in a day. how many cups of vegetables are included in the 3 meals of the day?

a. $2\frac{1}{2}$
b. $2\frac{5}{4}$
c. $2\frac{5}{2}$
d. 3
e. $3\frac{1}{2}$

Explanation:

Step1: Convert mixed - numbers to improper fractions

$1\frac{3}{4}=\frac{4\times1 + 3}{4}=\frac{7}{4}$ and $1\frac{1}{2}=\frac{2\times1+1}{2}=\frac{3}{2}=\frac{6}{4}$

Step2: Add the fractions

$\frac{1}{4}+\frac{7}{4}+\frac{6}{4}=\frac{1 + 7+6}{4}=\frac{14}{4}$

Step3: Convert the improper fraction back to a mixed - number

$\frac{14}{4}=\frac{12 + 2}{4}=3\frac{2}{4}=3\frac{1}{2}$

Answer:

E. $3\frac{1}{2}$