Solve {left(frac{1/50right)}^236-3*149.5+2*79.7}{75}

$$\frac{ { \left( \frac{ 1 }{ 50 } \right) }^{ 2 } 36-3 \cdot 149.5+2 \cdot 79.7 }{ 75 }$$

Evaluate

$$-\frac{361357}{93750}\approx -3.854474667$$

Solution Steps

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

$$\frac{\frac{1}{2500}\times 36-3\times 149.5+2\times 79.7}{75}$$

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

$$\frac{\frac{36}{2500}-3\times 149.5+2\times 79.7}{75}$$

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

$$\frac{\frac{9}{625}-3\times 149.5+2\times 79.7}{75}$$

Multiply 3 and 149.5 to get 448.5.

$$\frac{\frac{9}{625}-448.5+2\times 79.7}{75}$$

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.

$$\frac{\frac{9}{625}-\frac{897}{2}+2\times 79.7}{75}$$

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

$$\frac{\frac{18}{1250}-\frac{560625}{1250}+2\times 79.7}{75}$$

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

$$\frac{\frac{18-560625}{1250}+2\times 79.7}{75}$$

Subtract 560625 from 18 to get -560607.

$$\frac{-\frac{560607}{1250}+2\times 79.7}{75}$$

Multiply 2 and 79.7 to get 159.4.

$$\frac{-\frac{560607}{1250}+159.4}{75}$$

Convert decimal number 159.4 to fraction \frac{1594}{10}. Reduce the fraction \frac{1594}{10} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{560607}{1250}+\frac{797}{5}}{75}$$

Least common multiple of 1250 and 5 is 1250. Convert -\frac{560607}{1250} and \frac{797}{5} to fractions with denominator 1250.

$$\frac{-\frac{560607}{1250}+\frac{199250}{1250}}{75}$$

Since -\frac{560607}{1250} and \frac{199250}{1250} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-560607+199250}{1250}}{75}$$

Add -560607 and 199250 to get -361357.

$$\frac{-\frac{361357}{1250}}{75}$$

Express \frac{-\frac{361357}{1250}}{75} as a single fraction.

$$\frac{-361357}{1250\times 75}$$

Multiply 1250 and 75 to get 93750.

$$\frac{-361357}{93750}$$

Fraction \frac{-361357}{93750} can be rewritten as -\frac{361357}{93750} by extracting the negative sign.

$$-\frac{361357}{93750}$$

Factor

$$-\frac{361357}{93750} = -3\frac{80107}{93750} = -3.8544746666666665$$