Solve (4/15+7/8)div2

$$( \frac{ 4 }{ 15 } + \frac{ 7 }{ 8 } ) \div 2$$

Evaluate

$$\frac{137}{240}\approx 0.570833333$$

Solution Steps

Least common multiple of 15 and 8 is 120. Convert \frac{4}{15} and \frac{7}{8} to fractions with denominator 120.

$$\frac{\frac{32}{120}+\frac{105}{120}}{2}$$

Since \frac{32}{120} and \frac{105}{120} have the same denominator, add them by adding their numerators.

$$\frac{\frac{32+105}{120}}{2}$$

Add 32 and 105 to get 137.

$$\frac{\frac{137}{120}}{2}$$

Express \frac{\frac{137}{120}}{2} as a single fraction.

$$\frac{137}{120\times 2}$$

Multiply 120 and 2 to get 240.

$$\frac{137}{240}$$

Factor

$$\frac{137}{2 ^ {4} \cdot 3 \cdot 5} = 0.5708333333333333$$