Solve -73*16/3000+1751*4/15000-163/5000

$$- \frac { 73 \times 16 } { 3000 } + \frac { 1751 \times 4 } { 15000 } - \frac { 163 } { 5000 }$$

Evaluate

$$\frac{9}{200}=0.045$$

Solution Steps

Multiply 73 and 16 to get 1168.

$$-\frac{1168}{3000}+\frac{1751\times 4}{15000}-\frac{163}{5000}$$

Reduce the fraction \frac{1168}{3000} to lowest terms by extracting and canceling out 8.

$$-\frac{146}{375}+\frac{1751\times 4}{15000}-\frac{163}{5000}$$

Multiply 1751 and 4 to get 7004.

$$-\frac{146}{375}+\frac{7004}{15000}-\frac{163}{5000}$$

Reduce the fraction \frac{7004}{15000} to lowest terms by extracting and canceling out 4.

$$-\frac{146}{375}+\frac{1751}{3750}-\frac{163}{5000}$$

Least common multiple of 375 and 3750 is 3750. Convert -\frac{146}{375} and \frac{1751}{3750} to fractions with denominator 3750.

$$-\frac{1460}{3750}+\frac{1751}{3750}-\frac{163}{5000}$$

Since -\frac{1460}{3750} and \frac{1751}{3750} have the same denominator, add them by adding their numerators.

$$\frac{-1460+1751}{3750}-\frac{163}{5000}$$

Add -1460 and 1751 to get 291.

$$\frac{291}{3750}-\frac{163}{5000}$$

Reduce the fraction \frac{291}{3750} to lowest terms by extracting and canceling out 3.

$$\frac{97}{1250}-\frac{163}{5000}$$

Least common multiple of 1250 and 5000 is 5000. Convert \frac{97}{1250} and \frac{163}{5000} to fractions with denominator 5000.

$$\frac{388}{5000}-\frac{163}{5000}$$

Since \frac{388}{5000} and \frac{163}{5000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{388-163}{5000}$$

Subtract 163 from 388 to get 225.

$$\frac{225}{5000}$$

Reduce the fraction \frac{225}{5000} to lowest terms by extracting and canceling out 25.

$$\frac{9}{200}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {3} \cdot 5 ^ {2}} = 0.045$$