Solve -370*(-1/4)+0.25*24.5-(-51/2)*250

$$- 370 \times ( - \frac { 1 } { 4 } ) + 0.25 \times 24.5 - ( - 5 \frac { 1 } { 2 } ) \times 250$$

Evaluate

$$1473.625$$

Solution Steps

Express -370\left(-\frac{1}{4}\right) as a single fraction.

$$\frac{-370\left(-1\right)}{4}+0.25\times 24.5-\left(-\frac{5\times 2+1}{2}\right)\times 250$$

Multiply -370 and -1 to get 370.

$$\frac{370}{4}+0.25\times 24.5-\left(-\frac{5\times 2+1}{2}\right)\times 250$$

Reduce the fraction \frac{370}{4} to lowest terms by extracting and canceling out 2.

$$\frac{185}{2}+0.25\times 24.5-\left(-\frac{5\times 2+1}{2}\right)\times 250$$

Multiply 0.25 and 24.5 to get 6.125.

$$\frac{185}{2}+6.125-\left(-\frac{5\times 2+1}{2}\right)\times 250$$

Convert decimal number 6.125 to fraction \frac{6125}{1000}. Reduce the fraction \frac{6125}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{185}{2}+\frac{49}{8}-\left(-\frac{5\times 2+1}{2}\right)\times 250$$

Least common multiple of 2 and 8 is 8. Convert \frac{185}{2} and \frac{49}{8} to fractions with denominator 8.

$$\frac{740}{8}+\frac{49}{8}-\left(-\frac{5\times 2+1}{2}\right)\times 250$$

Since \frac{740}{8} and \frac{49}{8} have the same denominator, add them by adding their numerators.

$$\frac{740+49}{8}-\left(-\frac{5\times 2+1}{2}\right)\times 250$$

Add 740 and 49 to get 789.

$$\frac{789}{8}-\left(-\frac{5\times 2+1}{2}\right)\times 250$$

Multiply 5 and 2 to get 10.

$$\frac{789}{8}-\left(-\frac{10+1}{2}\right)\times 250$$

Add 10 and 1 to get 11.

$$\frac{789}{8}-\left(-\frac{11}{2}\times 250\right)$$

Express -\frac{11}{2}\times 250 as a single fraction.

$$\frac{789}{8}-\frac{-11\times 250}{2}$$

Multiply -11 and 250 to get -2750.

$$\frac{789}{8}-\frac{-2750}{2}$$

Divide -2750 by 2 to get -1375.

$$\frac{789}{8}-\left(-1375\right)$$

The opposite of -1375 is 1375.

$$\frac{789}{8}+1375$$

Convert 1375 to fraction \frac{11000}{8}.

$$\frac{789}{8}+\frac{11000}{8}$$

Since \frac{789}{8} and \frac{11000}{8} have the same denominator, add them by adding their numerators.

$$\frac{789+11000}{8}$$

Add 789 and 11000 to get 11789.

$$\frac{11789}{8}$$

Factor

$$\frac{11789}{2 ^ {3}} = 1473\frac{5}{8} = 1473.625$$