Question

jun gave his brother 1/6 of the dimes in his bank to share in buying a gift for their father. jun also gave his brother 2/5 of the dimes in his bank for a gift for their mother. how much of the dimes in his bank did he give away?

Explanation:

Step1: Find common denominator

The denominators are 6 and 5, so the least common denominator is $6 \times 5 = 30$.

Step2: Rewrite fractions with LCD

$\frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30}$
$\frac{2}{5} = \frac{2 \times 6}{5 \times 6} = \frac{12}{30}$

Step3: Add the two fractions

$\frac{5}{30} + \frac{12}{30} = \frac{5 + 12}{30} = \frac{17}{30}$

Answer:

$\frac{17}{30}$ of the dimes in his bank