# Chapter 3 - Adding and Subtracting Fractions - 3.1 Adding and Subtracting Like Fractions - 3.1 Execises: 10

$1\frac{1}{5}$

#### Work Step by Step

Fractions are ready to add if they are $like$ fractions (page 198). $\frac{9}{10}$+$\frac{3}{10}$ = $\frac{9 + 3}{10}$ = $\frac{12}{10}$ Add the numerators $12$ is the sum of the numerators $10$ is the same denominator $\frac{12}{10}$ is not in $lowest$ $terms$ (page 132). Write the answer in lowest terms: $\frac{12\div2}{10\div2}$ = $\frac{6}{5}$ $\frac{6}{5}$ is not simplified because it is an $improper fraction$ (page 121). Simplify the answer. Write the improper fraction $\frac{6}{5}$ as a mixed number. Divide $6$ by $5$ $6$ $\div$ $5$ = one whole with $\frac{1}{5}$ left over. $1\frac{1}{5}$

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