Solve 25*3/4-(-25)*1/2+25div(-4)

$$25 \times \frac { 3 } { 4 } - ( - 25 ) \times \frac { 1 } { 2 } + 25 \div ( - 4 )$$

Evaluate

$$25$$

Solution Steps

Express 25\times \frac{3}{4} as a single fraction.

$$\frac{25\times 3}{4}-\left(-25\times \frac{1}{2}\right)+\frac{25}{-4}$$

Multiply 25 and 3 to get 75.

$$\frac{75}{4}-\left(-25\times \frac{1}{2}\right)+\frac{25}{-4}$$

Multiply -25 and \frac{1}{2} to get \frac{-25}{2}.

$$\frac{75}{4}-\frac{-25}{2}+\frac{25}{-4}$$

Fraction \frac{-25}{2} can be rewritten as -\frac{25}{2} by extracting the negative sign.

$$\frac{75}{4}-\left(-\frac{25}{2}\right)+\frac{25}{-4}$$

The opposite of -\frac{25}{2} is \frac{25}{2}.

$$\frac{75}{4}+\frac{25}{2}+\frac{25}{-4}$$

Least common multiple of 4 and 2 is 4. Convert \frac{75}{4} and \frac{25}{2} to fractions with denominator 4.

$$\frac{75}{4}+\frac{50}{4}+\frac{25}{-4}$$

Since \frac{75}{4} and \frac{50}{4} have the same denominator, add them by adding their numerators.

$$\frac{75+50}{4}+\frac{25}{-4}$$

Add 75 and 50 to get 125.

$$\frac{125}{4}+\frac{25}{-4}$$

Fraction \frac{25}{-4} can be rewritten as -\frac{25}{4} by extracting the negative sign.

$$\frac{125}{4}-\frac{25}{4}$$

Since \frac{125}{4} and \frac{25}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-25}{4}$$

Subtract 25 from 125 to get 100.

$$\frac{100}{4}$$

Divide 100 by 4 to get 25.

$$25$$

Factor

$$5^{2}$$