Solve 11/15+12/14

$$\frac{ 11 }{ 15 } + \frac{ 12 }{ 14 }$$

Evaluate

$$\frac{167}{105}\approx 1.59047619$$

Solution Steps

Reduce the fraction \frac{12}{14} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 15 and 7 is 105. Convert \frac{11}{15} and \frac{6}{7} to fractions with denominator 105.

$$\frac{77}{105}+\frac{90}{105}$$

Since \frac{77}{105} and \frac{90}{105} have the same denominator, add them by adding their numerators.

$$\frac{77+90}{105}$$

Add 77 and 90 to get 167.

$$\frac{167}{105}$$

Factor

$$\frac{167}{3 \cdot 5 \cdot 7} = 1\frac{62}{105} = 1.5904761904761904$$