Solve 41/2-29/10=

$$4 \frac { 1 } { 2 } - 2 \frac { 9 } { 10 } =$$

Evaluate

$$\frac{8}{5}=1.6$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8+1}{2}-\frac{2\times 10+9}{10}$$

Add 8 and 1 to get 9.

$$\frac{9}{2}-\frac{2\times 10+9}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{9}{2}-\frac{20+9}{10}$$

Add 20 and 9 to get 29.

$$\frac{9}{2}-\frac{29}{10}$$

Least common multiple of 2 and 10 is 10. Convert \frac{9}{2} and \frac{29}{10} to fractions with denominator 10.

$$\frac{45}{10}-\frac{29}{10}$$

Since \frac{45}{10} and \frac{29}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-29}{10}$$

Subtract 29 from 45 to get 16.

$$\frac{16}{10}$$

Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{8}{5}$$

Factor

$$\frac{2 ^ {3}}{5} = 1\frac{3}{5} = 1.6$$