Solve (1/50)^2(36)-3*149.5+2*11.7/75

$$\frac { ( \frac { 1 } { 50 } ) ^ { 2 } ( 36 ) - 3 \times 149.5 + 2 \times 11.7 } { 75 }$$

Evaluate

$$-5.667808$$

Solution Steps

Calculate \frac{1}{50} to the power of 2 and get \frac{1}{2500}.

$$\frac{\frac{1}{2500}\times 36-3\times 149.5+2\times 11.7}{75}$$

Multiply \frac{1}{2500} and 36 to get \frac{36}{2500}.

$$\frac{\frac{36}{2500}-3\times 149.5+2\times 11.7}{75}$$

Reduce the fraction \frac{36}{2500} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{9}{625}-3\times 149.5+2\times 11.7}{75}$$

Multiply 3 and 149.5 to get 448.5.

$$\frac{\frac{9}{625}-448.5+2\times 11.7}{75}$$

Convert decimal number 448.5 to fraction \frac{4485}{10}. Reduce the fraction \frac{4485}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{9}{625}-\frac{897}{2}+2\times 11.7}{75}$$

Least common multiple of 625 and 2 is 1250. Convert \frac{9}{625} and \frac{897}{2} to fractions with denominator 1250.

$$\frac{\frac{18}{1250}-\frac{560625}{1250}+2\times 11.7}{75}$$

Since \frac{18}{1250} and \frac{560625}{1250} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{18-560625}{1250}+2\times 11.7}{75}$$

Subtract 560625 from 18 to get -560607.

$$\frac{-\frac{560607}{1250}+2\times 11.7}{75}$$

Multiply 2 and 11.7 to get 23.4.

$$\frac{-\frac{560607}{1250}+23.4}{75}$$

Convert decimal number 23.4 to fraction \frac{234}{10}. Reduce the fraction \frac{234}{10} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{560607}{1250}+\frac{117}{5}}{75}$$

Least common multiple of 1250 and 5 is 1250. Convert -\frac{560607}{1250} and \frac{117}{5} to fractions with denominator 1250.

$$\frac{-\frac{560607}{1250}+\frac{29250}{1250}}{75}$$

Since -\frac{560607}{1250} and \frac{29250}{1250} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-560607+29250}{1250}}{75}$$

Add -560607 and 29250 to get -531357.

$$\frac{-\frac{531357}{1250}}{75}$$

Express \frac{-\frac{531357}{1250}}{75} as a single fraction.

$$\frac{-531357}{1250\times 75}$$

Multiply 1250 and 75 to get 93750.

$$\frac{-531357}{93750}$$

Reduce the fraction \frac{-531357}{93750} to lowest terms by extracting and canceling out 3.

$$-\frac{177119}{31250}$$

Factor

$$-5.667808$$