Question

A man spends $ \frac{2}{5} $ of his salary on rent, $ \frac{1}{4} $ on food, and $ \frac{1}{10} $ on transportation. What fraction of his salary is left?

• A. \( \frac{11}{20} \)
• B. \( \frac{1}{4} \)
• C. \( \frac{9}{20} \)
• D. \( \frac{13}{20} \)

Hint:

Always convert all fractions to have a common denominator when adding or subtracting. Double-check for any errors in options if your math is consistent but no choice matches.

Answer 1

The Correct Option is B

To solve the problem, we need to find the fraction of the salary remaining after the man spends on rent, food, and transportation.

1. Understanding the Concepts:

- Fraction of Salary Spent: Sum of fractions spent on different items.
- Fraction Left: Total salary (1) minus the sum of fractions spent.

2. Given Values:

- Rent = \( \frac{2}{5} \)
- Food = \( \frac{1}{4} \)
- Transportation = \( \frac{1}{10} \)

3. Calculating the Fraction Left:

Sum of fractions spent: \[ \frac{2}{5} + \frac{1}{4} + \frac{1}{10} = \frac{8}{20} + \frac{5}{20} + \frac{2}{20} = \frac{15}{20} = \frac{3}{4} \] Fraction left: \[ 1 - \frac{3}{4} = \frac{1}{4} \]

Final Answer:

The fraction of his salary left is \(\frac{1}{4}\).