Solve 51/4-33/5

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

Evaluate

$$\frac{33}{20}=1.65$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+1}{4}-\frac{3\times 5+3}{5}$$

Add 20 and 1 to get 21.

$$\frac{21}{4}-\frac{3\times 5+3}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{21}{4}-\frac{15+3}{5}$$

Add 15 and 3 to get 18.

$$\frac{21}{4}-\frac{18}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{21}{4} and \frac{18}{5} to fractions with denominator 20.

$$\frac{105}{20}-\frac{72}{20}$$

Since \frac{105}{20} and \frac{72}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-72}{20}$$

Subtract 72 from 105 to get 33.

$$\frac{33}{20}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {2} \cdot 5} = 1\frac{13}{20} = 1.65$$