Solve 52/5-43/4

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

Evaluate

$$\frac{13}{20}=0.65$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{25+2}{5}-\frac{4\times 4+3}{4}$$

Add 25 and 2 to get 27.

$$\frac{27}{5}-\frac{4\times 4+3}{4}$$

Multiply 4 and 4 to get 16.

$$\frac{27}{5}-\frac{16+3}{4}$$

Add 16 and 3 to get 19.

$$\frac{27}{5}-\frac{19}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{27}{5} and \frac{19}{4} to fractions with denominator 20.

$$\frac{108}{20}-\frac{95}{20}$$

Since \frac{108}{20} and \frac{95}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{108-95}{20}$$

Subtract 95 from 108 to get 13.

$$\frac{13}{20}$$

Factor

$$\frac{13}{2 ^ {2} \cdot 5} = 0.65$$