Solve 15/7+-6/11

$$\frac { 15 } { 7 } + \frac { - 6 } { 11 }$$

Evaluate

$$\frac{123}{77}\approx 1.597402597$$

Solution Steps

Fraction \frac{-6}{11} can be rewritten as -\frac{6}{11} by extracting the negative sign.

$$\frac{15}{7}-\frac{6}{11}$$

Least common multiple of 7 and 11 is 77. Convert \frac{15}{7} and \frac{6}{11} to fractions with denominator 77.

$$\frac{165}{77}-\frac{42}{77}$$

Since \frac{165}{77} and \frac{42}{77} have the same denominator, subtract them by subtracting their numerators.

$$\frac{165-42}{77}$$

Subtract 42 from 165 to get 123.

$$\frac{123}{77}$$

Factor

$$\frac{3 \cdot 41}{7 \cdot 11} = 1\frac{46}{77} = 1.5974025974025974$$