Solve 52/5-13/4

$$5 \frac { 2 } { 5 } - \frac { 13 } { 4 }$$

Evaluate

$$\frac{43}{20}=2.15$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{25+2}{5}-\frac{13}{4}$$

Add 25 and 2 to get 27.

$$\frac{27}{5}-\frac{13}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{27}{5} and \frac{13}{4} to fractions with denominator 20.

$$\frac{108}{20}-\frac{65}{20}$$

Since \frac{108}{20} and \frac{65}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{108-65}{20}$$

Subtract 65 from 108 to get 43.

$$\frac{43}{20}$$

Factor

$$\frac{43}{2 ^ {2} \cdot 5} = 2\frac{3}{20} = 2.15$$