Solve 0.107/19-8/45=

$$\frac { 0.10 \frac { 7 } { 19 } - 8 } { 45 } =$$

Evaluate

$$-\frac{159}{950}\approx -0.167368421$$

Solution Steps

Multiply 0.1 and 19 to get 1.9.

$$\frac{\frac{1.9+7}{19}-8}{45}$$

Add 1.9 and 7 to get 8.9.

$$\frac{\frac{8.9}{19}-8}{45}$$

Expand \frac{8.9}{19} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{89}{190}-8}{45}$$

Convert 8 to fraction \frac{1520}{190}.

$$\frac{\frac{89}{190}-\frac{1520}{190}}{45}$$

Since \frac{89}{190} and \frac{1520}{190} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{89-1520}{190}}{45}$$

Subtract 1520 from 89 to get -1431.

$$\frac{-\frac{1431}{190}}{45}$$

Express \frac{-\frac{1431}{190}}{45} as a single fraction.

$$\frac{-1431}{190\times 45}$$

Multiply 190 and 45 to get 8550.

$$\frac{-1431}{8550}$$

Reduce the fraction \frac{-1431}{8550} to lowest terms by extracting and canceling out 9.

$$-\frac{159}{950}$$

Factor

$$-\frac{159}{950} = -0.16736842105263158$$