Solve 41/2-14/5

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

Evaluate

$$\frac{27}{10}=2.7$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{8+1}{2}-\frac{1\times 5+4}{5}$$

Add 8 and 1 to get 9.

$$\frac{9}{2}-\frac{1\times 5+4}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{9}{2}-\frac{5+4}{5}$$

Add 5 and 4 to get 9.

$$\frac{9}{2}-\frac{9}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{9}{2} and \frac{9}{5} to fractions with denominator 10.

$$\frac{45}{10}-\frac{18}{10}$$

Since \frac{45}{10} and \frac{18}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-18}{10}$$

Subtract 18 from 45 to get 27.

$$\frac{27}{10}$$

Factor

$$\frac{3 ^ {3}}{2 \cdot 5} = 2\frac{7}{10} = 2.7$$