Solve 39*1-363/254*38

$$39 \cdot 1 - \frac { 363 } { 254 } \cdot 38$$

Evaluate

$$-\frac{1944}{127}\approx -15.307086614$$

Solution Steps

Multiply 39 and 1 to get 39.

$$39-\frac{363}{254}\times 38$$

Express \frac{363}{254}\times 38 as a single fraction.

$$39-\frac{363\times 38}{254}$$

Multiply 363 and 38 to get 13794.

$$39-\frac{13794}{254}$$

Reduce the fraction \frac{13794}{254} to lowest terms by extracting and canceling out 2.

$$39-\frac{6897}{127}$$

Convert 39 to fraction \frac{4953}{127}.

$$\frac{4953}{127}-\frac{6897}{127}$$

Since \frac{4953}{127} and \frac{6897}{127} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4953-6897}{127}$$

Subtract 6897 from 4953 to get -1944.

$$-\frac{1944}{127}$$

Factor

$$-\frac{1944}{127} = -15\frac{39}{127} = -15.307086614173228$$