Solve 1/2+1/34/5-1/8

$$\frac{ 1 }{ 2 } + \frac{ 1 }{ 3 } \frac{ 4 }{ 5 } - \frac{ 1 }{ 8 }$$

Evaluate

$$\frac{77}{120}\approx 0.641666667$$

Solution Steps

Multiply \frac{1}{3} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{2}+\frac{1\times 4}{3\times 5}-\frac{1}{8}$$

Do the multiplications in the fraction \frac{1\times 4}{3\times 5}.

$$\frac{1}{2}+\frac{4}{15}-\frac{1}{8}$$

Least common multiple of 2 and 15 is 30. Convert \frac{1}{2} and \frac{4}{15} to fractions with denominator 30.

$$\frac{15}{30}+\frac{8}{30}-\frac{1}{8}$$

Since \frac{15}{30} and \frac{8}{30} have the same denominator, add them by adding their numerators.

$$\frac{15+8}{30}-\frac{1}{8}$$

Add 15 and 8 to get 23.

$$\frac{23}{30}-\frac{1}{8}$$

Least common multiple of 30 and 8 is 120. Convert \frac{23}{30} and \frac{1}{8} to fractions with denominator 120.

$$\frac{92}{120}-\frac{15}{120}$$

Since \frac{92}{120} and \frac{15}{120} have the same denominator, subtract them by subtracting their numerators.

$$\frac{92-15}{120}$$

Subtract 15 from 92 to get 77.

$$\frac{77}{120}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {3} \cdot 3 \cdot 5} = 0.6416666666666667$$