Solve 42/5-31/2

$$4 \frac { 2 } { 5 } - 3 \frac { 1 } { 2 }$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+2}{5}-\frac{3\times 2+1}{2}$$

Add 20 and 2 to get 22.

$$\frac{22}{5}-\frac{3\times 2+1}{2}$$

Multiply 3 and 2 to get 6.

$$\frac{22}{5}-\frac{6+1}{2}$$

Add 6 and 1 to get 7.

$$\frac{22}{5}-\frac{7}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{22}{5} and \frac{7}{2} to fractions with denominator 10.

$$\frac{44}{10}-\frac{35}{10}$$

Since \frac{44}{10} and \frac{35}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{44-35}{10}$$

Subtract 35 from 44 to get 9.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$