Question

teacher:nichols class:period 4 @evzkhi1v
student mailyn
express as a simple fraction in lowest terms
\\(\frac{4}{11} + \frac{5}{7} = \frac{\square}{\square}\\) ok

Explanation:

Step1: Find common denominator

The least common denominator of 11 and 7 is $11 \times 7 = 77$.

Step2: Rewrite fractions

$\frac{4}{11} = \frac{4 \times 7}{11 \times 7} = \frac{28}{77}$, $\frac{5}{7} = \frac{5 \times 11}{7 \times 11} = \frac{55}{77}$

Step3: Add the fractions

$\frac{28}{77} + \frac{55}{77} = \frac{28 + 55}{77}$

Step4: Simplify the result

$\frac{83}{77}$ (83 is prime, so no further simplification)

Answer:

$\frac{83}{77}$