Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

$-\frac{3}{11}+\frac{5}{7}=square$

Question

$-\frac{3}{11}+\frac{5}{7}=square$

Explanation:

Step1: Find a common denominator

The denominators are 11 and 7, and their least common multiple is \(11\times7 = 77\).
Rewrite the fractions with the common denominator:
\(-\frac{3}{11}=-\frac{3\times7}{11\times7}=-\frac{21}{77}\)
\(\frac{5}{7}=\frac{5\times11}{7\times11}=\frac{55}{77}\)

Step2: Add the fractions

Now add the two fractions with the common denominator:
\(-\frac{21}{77}+\frac{55}{77}=\frac{-21 + 55}{77}=\frac{34}{77}\)

Answer:

\(\frac{34}{77}\)