Solve (1/50)^2(36)-3*1495+2*117/75

$$\frac { ( \frac { 1 } { 50 } ) ^ { 2 } ( 36 ) - 3 \times 1495 + 2 \times 117 } { 75 }$$

Evaluate

$$-\frac{885622}{15625}=-56.679808$$

Solution Steps

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

$$\frac{\frac{1}{2500}\times 36-3\times 1495+2\times 117}{75}$$

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

$$\frac{\frac{36}{2500}-3\times 1495+2\times 117}{75}$$

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

$$\frac{\frac{9}{625}-3\times 1495+2\times 117}{75}$$

Multiply 3 and 1495 to get 4485.

$$\frac{\frac{9}{625}-4485+2\times 117}{75}$$

Convert 4485 to fraction \frac{2803125}{625}.

$$\frac{\frac{9}{625}-\frac{2803125}{625}+2\times 117}{75}$$

Since \frac{9}{625} and \frac{2803125}{625} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{9-2803125}{625}+2\times 117}{75}$$

Subtract 2803125 from 9 to get -2803116.

$$\frac{-\frac{2803116}{625}+2\times 117}{75}$$

Multiply 2 and 117 to get 234.

$$\frac{-\frac{2803116}{625}+234}{75}$$

Convert 234 to fraction \frac{146250}{625}.

$$\frac{-\frac{2803116}{625}+\frac{146250}{625}}{75}$$

Since -\frac{2803116}{625} and \frac{146250}{625} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-2803116+146250}{625}}{75}$$

Add -2803116 and 146250 to get -2656866.

$$\frac{-\frac{2656866}{625}}{75}$$

Express \frac{-\frac{2656866}{625}}{75} as a single fraction.

$$\frac{-2656866}{625\times 75}$$

Multiply 625 and 75 to get 46875.

$$\frac{-2656866}{46875}$$

Reduce the fraction \frac{-2656866}{46875} to lowest terms by extracting and canceling out 3.

$$-\frac{885622}{15625}$$

Factor

$$-\frac{885622}{15625} = -56\frac{10622}{15625} = -56.679808$$