Question

directions: read each question carefully. then, work the problem to answer the question. question 1: find the sum. 1\frac{1}{2}+\frac{2}{3} ① 1\frac{1}{6} ② 1\frac{3}{5} ③ 2\frac{1}{6} ④ 2\frac{1}{2}

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}$

Step2: Find a common denominator

The common denominator of 2 and 3 is 6. $\frac{3}{2}=\frac{3\times3}{2\times3}=\frac{9}{6}$ and $\frac{2}{3}=\frac{2\times2}{3\times2}=\frac{4}{6}$

Step3: Add the fractions

$\frac{9}{6}+\frac{4}{6}=\frac{9 + 4}{6}=\frac{13}{6}$

Step4: Convert back to mixed - number

$\frac{13}{6}=2\frac{1}{6}$

Answer:

C. $2\frac{1}{6}$