Solve 4000-5500*(25%+45%)

$$4000-5500 \times (25 \% +45 \% )$$

Evaluate

$$150$$

Solution Steps

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$4000-5500\left(\frac{1}{4}+\frac{45}{100}\right)$$

Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.

$$4000-5500\left(\frac{1}{4}+\frac{9}{20}\right)$$

Least common multiple of 4 and 20 is 20. Convert \frac{1}{4} and \frac{9}{20} to fractions with denominator 20.

$$4000-5500\left(\frac{5}{20}+\frac{9}{20}\right)$$

Since \frac{5}{20} and \frac{9}{20} have the same denominator, add them by adding their numerators.

$$4000-5500\times \frac{5+9}{20}$$

Add 5 and 9 to get 14.

$$4000-5500\times \frac{14}{20}$$

Reduce the fraction \frac{14}{20} to lowest terms by extracting and canceling out 2.

$$4000-5500\times \frac{7}{10}$$

Express 5500\times \frac{7}{10} as a single fraction.

$$4000-\frac{5500\times 7}{10}$$

Multiply 5500 and 7 to get 38500.

$$4000-\frac{38500}{10}$$

Divide 38500 by 10 to get 3850.

$$4000-3850$$

Subtract 3850 from 4000 to get 150.

$$150$$

Factor

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