Question

question 8 of 10, step 1 of 1
compute the sum indicated and simplify your answer.
\\(\frac{11}{60} + \frac{34}{50}\\)
answer

Explanation:

Step1: Find least common denominator

The denominators are 60 and 50. Prime factors: $60=2^2\times3\times5$, $50=2\times5^2$. LCD = $2^2\times3\times5^2=300$.

Step2: Rewrite fractions with LCD

$\frac{11}{60} = \frac{11\times5}{60\times5} = \frac{55}{300}$
$\frac{34}{50} = \frac{34\times6}{50\times6} = \frac{204}{300}$

Step3: Add the fractions

$\frac{55}{300} + \frac{204}{300} = \frac{55+204}{300} = \frac{259}{300}$

Step4: Check if reducible

259 and 300 share no common factors (259=7×37; 300=2²×3×5²).

Answer:

$\frac{259}{300}$