Solve 1/4*314*25-1/2*5*5=

$$\frac { 1 } { 4 } \times 314 \times 25 - \frac { 1 } { 2 } \times 5 \times 5 =$$

Evaluate

$$1950$$

Solution Steps

Multiply \frac{1}{4} and 314 to get \frac{314}{4}.

$$\frac{314}{4}\times 25-\frac{1}{2}\times 5\times 5$$

Reduce the fraction \frac{314}{4} to lowest terms by extracting and canceling out 2.

$$\frac{157}{2}\times 25-\frac{1}{2}\times 5\times 5$$

Express \frac{157}{2}\times 25 as a single fraction.

$$\frac{157\times 25}{2}-\frac{1}{2}\times 5\times 5$$

Multiply 157 and 25 to get 3925.

$$\frac{3925}{2}-\frac{1}{2}\times 5\times 5$$

Multiply \frac{1}{2} and 5 to get \frac{5}{2}.

$$\frac{3925}{2}-\frac{5}{2}\times 5$$

Express \frac{5}{2}\times 5 as a single fraction.

$$\frac{3925}{2}-\frac{5\times 5}{2}$$

Multiply 5 and 5 to get 25.

$$\frac{3925}{2}-\frac{25}{2}$$

Since \frac{3925}{2} and \frac{25}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3925-25}{2}$$

Subtract 25 from 3925 to get 3900.

$$\frac{3900}{2}$$

Divide 3900 by 2 to get 1950.

$$1950$$

Factor

$$2\times 3\times 5^{2}\times 13$$