Perform the indicated operation and reduce the answer to lowest terms.
-$$\frac { 11 } { 15 } - \frac { 2 } { 25 }$$
A) $\frac { 1 } { 5 }$
B) $\frac { 49 } { 75 }$
C) $\frac { 9 } { 25 }$
D) $\frac { 9 } { 10 }$

Question

Quizplus · Accepted Answer

To subtract fractions, they must have a common denominator. The least common denominator (LCD) of 15 and 25 is 75. Convert each fraction: $\frac{11}{15} = \frac{11 \times 5}{15 \times 5} = \frac{55}{75}$ and $\frac{2}{25} = \frac{2 \times 3}{25 \times 3} = \frac{6}{75}$. Subtracting these gives $\frac{55}{75} - \frac{6}{75} = \frac{49}{75}$.

Perform the Indicated Operation and Reduce the Answer to Lowest 1115−225\frac { 11 } { 15 } - \frac { 2 } { 25 }1511​−252​

Perform the Indicated Operation and Reduce the Answer to Lowest $\frac { 11 } { 15 } - \frac { 2 } { 25 }$