Solve: 2/3 - 1/15 - 2/5 | Triple Fraction Subtraction

To solve the exercise $\frac{2}{3} - \frac{1}{15} - \frac{2}{5}$, we proceed as follows:

• Step 1: Determine the least common denominator (LCD) for the fractions. The denominators are 3, 15, and 5. The LCD of these numbers is 15.
• Step 2: Convert each fraction to an equivalent fraction with the common denominator of 15.
• $\frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}$
• $\frac{1}{15}$ remains as $\frac{1}{15}$ since it is already using the common denominator.
• $\frac{2}{5} = \frac{2 \times 3}{5 \times 3} = \frac{6}{15}$
• Step 3: Perform the subtraction by subtracting the numerators while keeping the denominator the same.
• $\frac{10}{15} - \frac{1}{15} = \frac{9}{15}$
• $\frac{9}{15} - \frac{6}{15} = \frac{3}{15}$
• Step 4: Simplify the resulting fraction, $\frac{3}{15}$, by dividing the numerator and the denominator by their greatest common divisor (GCD), which is 3.
• $\frac{3}{15} = \frac{3 \div 3}{15 \div 3} = \frac{1}{5}$

Therefore, the solution to the problem is $\frac{1}{5}$.