Solve 1/8+1/12*1/2+1/15

$$\frac { 1 } { 8 } + \frac { 1 } { 12 } \times \frac { 1 } { 2 } + \frac { 1 } { 15 }$$

Evaluate

$$\frac{7}{30}\approx 0.233333333$$

Solution Steps

Multiply \frac{1}{12} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{8}+\frac{1\times 1}{12\times 2}+\frac{1}{15}$$

Do the multiplications in the fraction \frac{1\times 1}{12\times 2}.

$$\frac{1}{8}+\frac{1}{24}+\frac{1}{15}$$

Least common multiple of 8 and 24 is 24. Convert \frac{1}{8} and \frac{1}{24} to fractions with denominator 24.

$$\frac{3}{24}+\frac{1}{24}+\frac{1}{15}$$

Since \frac{3}{24} and \frac{1}{24} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{24}+\frac{1}{15}$$

Add 3 and 1 to get 4.

$$\frac{4}{24}+\frac{1}{15}$$

Reduce the fraction \frac{4}{24} to lowest terms by extracting and canceling out 4.

$$\frac{1}{6}+\frac{1}{15}$$

Least common multiple of 6 and 15 is 30. Convert \frac{1}{6} and \frac{1}{15} to fractions with denominator 30.

$$\frac{5}{30}+\frac{2}{30}$$

Since \frac{5}{30} and \frac{2}{30} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{30}$$

Add 5 and 2 to get 7.

$$\frac{7}{30}$$

Factor

$$\frac{7}{2 \cdot 3 \cdot 5} = 0.23333333333333334$$