Solve 51/5-21/2

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

Evaluate

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

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{25+1}{5}-\frac{2\times 2+1}{2}$$

Add 25 and 1 to get 26.

$$\frac{26}{5}-\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{26}{5}-\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{26}{5}-\frac{5}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{26}{5} and \frac{5}{2} to fractions with denominator 10.

$$\frac{52}{10}-\frac{25}{10}$$

Since \frac{52}{10} and \frac{25}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-25}{10}$$

Subtract 25 from 52 to get 27.

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

Factor

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