Solve 31/5-23/4

$$3 \frac{ 1 }{ 5 } -2 \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{9}{20}=0.45$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+1}{5}-\frac{2\times 4+3}{4}$$

Add 15 and 1 to get 16.

$$\frac{16}{5}-\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{16}{5}-\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{16}{5}-\frac{11}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{16}{5} and \frac{11}{4} to fractions with denominator 20.

$$\frac{64}{20}-\frac{55}{20}$$

Since \frac{64}{20} and \frac{55}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{64-55}{20}$$

Subtract 55 from 64 to get 9.

$$\frac{9}{20}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5} = 0.45$$