Question

1. a plant grew 1.\overline{3} inches within the first month and 0.\overline{5} of an inch within the next month. how many total inches did the plant grow in the first two months? 1\frac{1}{8} 1\frac{4}{5} 1\frac{5}{6} 1\frac{8}{9}

Explanation:

Step1: Convert repeating decimals to fractions

$1.\overline{3}=\frac{4}{3}$ and $0.\overline{5}=\frac{5}{9}$

Step2: Find a common - denominator

The common denominator of 3 and 9 is 9. $\frac{4}{3}=\frac{4\times3}{3\times3}=\frac{12}{9}$

Step3: Add the fractions

$\frac{12}{9}+\frac{5}{9}=\frac{12 + 5}{9}=\frac{17}{9}=1\frac{8}{9}$

Answer:

D. $1\frac{8}{9}$