Question

User: A family spends 1/10 of its annual income for housing, 1/4 for food and clothing, 1/5 for general expenses, and 2/15 for entertainment. What fractional part of their income is spent on these items altogether?
a. 41/60
b. 6/41
c. 11/12
d. 1/7

Answer 1

$\frac{1}{10}+\frac{1}{4}+\frac{1}{5}+\frac{2}{15}= \\ \\ \frac{1 \times 6}{10 \times 6}+\frac{1 \times 15}{4 \times 15}+\frac{1 \times 12}{5 \times 12}+\frac{2 \times 4}{15 \times 4}= \\ \\ \frac{6}{10}+\frac{15}{60}+\frac{12}{60}+\frac{8}{60}= \\ \\ \frac{41}{60}$

The answer is A.