Solve 23/11+13/8=

$$\frac { 23 } { 11 } + \frac { 13 } { 8 } =$$

Evaluate

$$\frac{327}{88}\approx 3.715909091$$

Solution Steps

Least common multiple of 11 and 8 is 88. Convert \frac{23}{11} and \frac{13}{8} to fractions with denominator 88.

$$\frac{184}{88}+\frac{143}{88}$$

Since \frac{184}{88} and \frac{143}{88} have the same denominator, add them by adding their numerators.

$$\frac{184+143}{88}$$

Add 184 and 143 to get 327.

$$\frac{327}{88}$$

Factor

$$\frac{3 \cdot 109}{2 ^ {3} \cdot 11} = 3\frac{63}{88} = 3.715909090909091$$