Solve 53/5-23/10

$$5 \frac { 3 } { 5 } - 2 \frac { 3 } { 10 }$$

Evaluate

$$\frac{33}{10}=3.3$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{25+3}{5}-\frac{2\times 10+3}{10}$$

Add 25 and 3 to get 28.

$$\frac{28}{5}-\frac{2\times 10+3}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{28}{5}-\frac{20+3}{10}$$

Add 20 and 3 to get 23.

$$\frac{28}{5}-\frac{23}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{28}{5} and \frac{23}{10} to fractions with denominator 10.

$$\frac{56}{10}-\frac{23}{10}$$

Since \frac{56}{10} and \frac{23}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-23}{10}$$

Subtract 23 from 56 to get 33.

$$\frac{33}{10}$$

Factor

$$\frac{3 \cdot 11}{2 \cdot 5} = 3\frac{3}{10} = 3.3$$