Solve 89/10-42/5

$$8 \frac { 9 } { 10 } - 4 \frac { 2 } { 5 }$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Multiply 8 and 10 to get 80.

$$\frac{80+9}{10}-\frac{4\times 5+2}{5}$$

Add 80 and 9 to get 89.

$$\frac{89}{10}-\frac{4\times 5+2}{5}$$

Multiply 4 and 5 to get 20.

$$\frac{89}{10}-\frac{20+2}{5}$$

Add 20 and 2 to get 22.

$$\frac{89}{10}-\frac{22}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{89}{10} and \frac{22}{5} to fractions with denominator 10.

$$\frac{89}{10}-\frac{44}{10}$$

Since \frac{89}{10} and \frac{44}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{89-44}{10}$$

Subtract 44 from 89 to get 45.

$$\frac{45}{10}$$

Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$