Solve 1/15-3+1/2(15)-8=

$$\frac{ 1 }{ 15-3 } + \frac{ 1 }{ 2(15)-8 } =$$

Evaluate

$$\frac{17}{132}\approx 0.128787879$$

Solution Steps

Subtract 3 from 15 to get 12.

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

Multiply 2 and 15 to get 30.

$$\frac{1}{12}+\frac{1}{30-8}$$

Subtract 8 from 30 to get 22.

$$\frac{1}{12}+\frac{1}{22}$$

Least common multiple of 12 and 22 is 132. Convert \frac{1}{12} and \frac{1}{22} to fractions with denominator 132.

$$\frac{11}{132}+\frac{6}{132}$$

Since \frac{11}{132} and \frac{6}{132} have the same denominator, add them by adding their numerators.

$$\frac{11+6}{132}$$

Add 11 and 6 to get 17.

$$\frac{17}{132}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3 \cdot 11} = 0.12878787878787878$$