Solve 4/30+7/8

$$\frac { 4 } { 30 } + \frac { 7 } { 8 }$$

Evaluate

$$\frac{121}{120}\approx 1.008333333$$

Solution Steps

Reduce the fraction \frac{4}{30} to lowest terms by extracting and canceling out 2.

$$\frac{2}{15}+\frac{7}{8}$$

Least common multiple of 15 and 8 is 120. Convert \frac{2}{15} and \frac{7}{8} to fractions with denominator 120.

$$\frac{16}{120}+\frac{105}{120}$$

Since \frac{16}{120} and \frac{105}{120} have the same denominator, add them by adding their numerators.

$$\frac{16+105}{120}$$

Add 16 and 105 to get 121.

$$\frac{121}{120}$$

Factor

$$\frac{11 ^ {2}}{2 ^ {3} \cdot 3 \cdot 5} = 1\frac{1}{120} = 1.0083333333333333$$