Solve 44*(1-54.5%-9.1%)/16=

$$\frac { 44 \times ( 1 - 54.5 \% - 9.1 \% ) } { 16 } =$$

Evaluate

$$1.001$$

Solution Steps

Expand \frac{54.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{44\left(1-\frac{545}{1000}-\frac{9.1}{100}\right)}{16}$$

Reduce the fraction \frac{545}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{44\left(1-\frac{109}{200}-\frac{9.1}{100}\right)}{16}$$

Convert 1 to fraction \frac{200}{200}.

$$\frac{44\left(\frac{200}{200}-\frac{109}{200}-\frac{9.1}{100}\right)}{16}$$

Since \frac{200}{200} and \frac{109}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{44\left(\frac{200-109}{200}-\frac{9.1}{100}\right)}{16}$$

Subtract 109 from 200 to get 91.

$$\frac{44\left(\frac{91}{200}-\frac{9.1}{100}\right)}{16}$$

Expand \frac{9.1}{100} by multiplying both numerator and the denominator by 10.

$$\frac{44\left(\frac{91}{200}-\frac{91}{1000}\right)}{16}$$

Least common multiple of 200 and 1000 is 1000. Convert \frac{91}{200} and \frac{91}{1000} to fractions with denominator 1000.

$$\frac{44\left(\frac{455}{1000}-\frac{91}{1000}\right)}{16}$$

Since \frac{455}{1000} and \frac{91}{1000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{44\times \frac{455-91}{1000}}{16}$$

Subtract 91 from 455 to get 364.

$$\frac{44\times \frac{364}{1000}}{16}$$

Reduce the fraction \frac{364}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{44\times \frac{91}{250}}{16}$$

Express 44\times \frac{91}{250} as a single fraction.

$$\frac{\frac{44\times 91}{250}}{16}$$

Multiply 44 and 91 to get 4004.

$$\frac{\frac{4004}{250}}{16}$$

Reduce the fraction \frac{4004}{250} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{2002}{125}}{16}$$

Express \frac{\frac{2002}{125}}{16} as a single fraction.

$$\frac{2002}{125\times 16}$$

Multiply 125 and 16 to get 2000.

$$\frac{2002}{2000}$$

Reduce the fraction \frac{2002}{2000} to lowest terms by extracting and canceling out 2.

$$\frac{1001}{1000}$$

Factor

$$\frac{7 \cdot 11 \cdot 13}{2 ^ {3} \cdot 5 ^ {3}} = 1\frac{1}{1000} = 1.001$$