Solve 150*(32%*2+48%+150-32%-48%)

$$150 \times ( 32 \% \times 2 + 48 \% + 150 - 32 \% - 48 \% )$$

Evaluate

$$22548$$

Solution Steps

Reduce the fraction \frac{32}{100} to lowest terms by extracting and canceling out 4.

$$150\left(\frac{8}{25}\times 2+\frac{48}{100}+150-\frac{32}{100}-\frac{48}{100}\right)$$

Express \frac{8}{25}\times 2 as a single fraction.

$$150\left(\frac{8\times 2}{25}+\frac{48}{100}+150-\frac{32}{100}-\frac{48}{100}\right)$$

Multiply 8 and 2 to get 16.

$$150\left(\frac{16}{25}+\frac{48}{100}+150-\frac{32}{100}-\frac{48}{100}\right)$$

Reduce the fraction \frac{48}{100} to lowest terms by extracting and canceling out 4.

$$150\left(\frac{16}{25}+\frac{12}{25}+150-\frac{32}{100}-\frac{48}{100}\right)$$

Since \frac{16}{25} and \frac{12}{25} have the same denominator, add them by adding their numerators.

$$150\left(\frac{16+12}{25}+150-\frac{32}{100}-\frac{48}{100}\right)$$

Add 16 and 12 to get 28.

$$150\left(\frac{28}{25}+150-\frac{32}{100}-\frac{48}{100}\right)$$

Convert 150 to fraction \frac{3750}{25}.

$$150\left(\frac{28}{25}+\frac{3750}{25}-\frac{32}{100}-\frac{48}{100}\right)$$

Since \frac{28}{25} and \frac{3750}{25} have the same denominator, add them by adding their numerators.

$$150\left(\frac{28+3750}{25}-\frac{32}{100}-\frac{48}{100}\right)$$

Add 28 and 3750 to get 3778.

$$150\left(\frac{3778}{25}-\frac{32}{100}-\frac{48}{100}\right)$$

Reduce the fraction \frac{32}{100} to lowest terms by extracting and canceling out 4.

$$150\left(\frac{3778}{25}-\frac{8}{25}-\frac{48}{100}\right)$$

Since \frac{3778}{25} and \frac{8}{25} have the same denominator, subtract them by subtracting their numerators.

$$150\left(\frac{3778-8}{25}-\frac{48}{100}\right)$$

Subtract 8 from 3778 to get 3770.

$$150\left(\frac{3770}{25}-\frac{48}{100}\right)$$

Reduce the fraction \frac{3770}{25} to lowest terms by extracting and canceling out 5.

$$150\left(\frac{754}{5}-\frac{48}{100}\right)$$

Reduce the fraction \frac{48}{100} to lowest terms by extracting and canceling out 4.

$$150\left(\frac{754}{5}-\frac{12}{25}\right)$$

Least common multiple of 5 and 25 is 25. Convert \frac{754}{5} and \frac{12}{25} to fractions with denominator 25.

$$150\left(\frac{3770}{25}-\frac{12}{25}\right)$$

Since \frac{3770}{25} and \frac{12}{25} have the same denominator, subtract them by subtracting their numerators.

$$150\times \frac{3770-12}{25}$$

Subtract 12 from 3770 to get 3758.

$$150\times \frac{3758}{25}$$

Express 150\times \frac{3758}{25} as a single fraction.

$$\frac{150\times 3758}{25}$$

Multiply 150 and 3758 to get 563700.

$$\frac{563700}{25}$$

Divide 563700 by 25 to get 22548.

$$22548$$

Factor

$$2^{2}\times 3\times 1879$$