Solve -1/8+2/114-3/2=

$$\frac { \frac { - 1 } { 8 } + 2 } { 114 - 3 / 2 } =$$

Evaluate

$$\frac{1}{60}\approx 0.016666667$$

Solution Steps

Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

$$\frac{-\frac{1}{8}+2}{114-\frac{3}{2}}$$

Convert 2 to fraction \frac{16}{8}.

$$\frac{-\frac{1}{8}+\frac{16}{8}}{114-\frac{3}{2}}$$

Since -\frac{1}{8} and \frac{16}{8} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-1+16}{8}}{114-\frac{3}{2}}$$

Add -1 and 16 to get 15.

$$\frac{\frac{15}{8}}{114-\frac{3}{2}}$$

Convert 114 to fraction \frac{228}{2}.

$$\frac{\frac{15}{8}}{\frac{228}{2}-\frac{3}{2}}$$

Since \frac{228}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{15}{8}}{\frac{228-3}{2}}$$

Subtract 3 from 228 to get 225.

$$\frac{\frac{15}{8}}{\frac{225}{2}}$$

Divide \frac{15}{8} by \frac{225}{2} by multiplying \frac{15}{8} by the reciprocal of \frac{225}{2}.

$$\frac{15}{8}\times \frac{2}{225}$$

Multiply \frac{15}{8} times \frac{2}{225} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 2}{8\times 225}$$

Do the multiplications in the fraction \frac{15\times 2}{8\times 225}.

$$\frac{30}{1800}$$

Reduce the fraction \frac{30}{1800} to lowest terms by extracting and canceling out 30.

$$\frac{1}{60}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 \cdot 5} = 0.016666666666666666$$