Question

evaluar. escribir su respuesta como una fracción en su forma más simple. $\frac{3}{4}-\frac{5}{8}+\frac{7}{12}$

Explanation:

Step1: Find the common denominator

The least - common multiple of 4, 8, and 12 is 24.

Step2: Rewrite each fraction with the common denominator

$\frac{3}{4}=\frac{3\times6}{4\times6}=\frac{18}{24}$, $\frac{5}{8}=\frac{5\times3}{8\times3}=\frac{15}{24}$, $\frac{7}{12}=\frac{7\times2}{12\times2}=\frac{14}{24}$.

Step3: Perform the operations

$\frac{3}{4}-\frac{5}{8}+\frac{7}{12}=\frac{18}{24}-\frac{15}{24}+\frac{14}{24}=\frac{18 - 15+14}{24}=\frac{17}{24}$.

Answer:

$\frac{17}{24}$