Solve (10%-5)(y-2)

$$( 10 \% - 5 ) ( y - 2 )$$

Evaluate

$$-\frac{49y}{10}+\frac{49}{5}$$

Solution Steps

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$\left(\frac{1}{10}-5\right)\left(y-2\right)$$

Convert 5 to fraction \frac{50}{10}.

$$\left(\frac{1}{10}-\frac{50}{10}\right)\left(y-2\right)$$

Since \frac{1}{10} and \frac{50}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-50}{10}\left(y-2\right)$$

Subtract 50 from 1 to get -49.

$$-\frac{49}{10}\left(y-2\right)$$

Use the distributive property to multiply -\frac{49}{10} by y-2.

$$-\frac{49}{10}y-\frac{49}{10}\left(-2\right)$$

Express -\frac{49}{10}\left(-2\right) as a single fraction.

$$-\frac{49}{10}y+\frac{-49\left(-2\right)}{10}$$

Multiply -49 and -2 to get 98.

$$-\frac{49}{10}y+\frac{98}{10}$$

Reduce the fraction \frac{98}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{49}{10}y+\frac{49}{5}$$

Expand

$$-\frac{49y}{10}+\frac{49}{5}$$

Solution Steps

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$\left(\frac{1}{10}-5\right)\left(y-2\right)$$

Convert 5 to fraction \frac{50}{10}.

$$\left(\frac{1}{10}-\frac{50}{10}\right)\left(y-2\right)$$

Since \frac{1}{10} and \frac{50}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-50}{10}\left(y-2\right)$$

Subtract 50 from 1 to get -49.

$$-\frac{49}{10}\left(y-2\right)$$

Use the distributive property to multiply -\frac{49}{10} by y-2.

$$-\frac{49}{10}y-\frac{49}{10}\left(-2\right)$$

Express -\frac{49}{10}\left(-2\right) as a single fraction.

$$-\frac{49}{10}y+\frac{-49\left(-2\right)}{10}$$

Multiply -49 and -2 to get 98.

$$-\frac{49}{10}y+\frac{98}{10}$$

Reduce the fraction \frac{98}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{49}{10}y+\frac{49}{5}$$