Solve 81/4-43/5

$$8 \frac { 1 } { 4 } - 4 \frac { 3 } { 5 }$$

Evaluate

$$\frac{73}{20}=3.65$$

Solution Steps

Multiply 8 and 4 to get 32.

$$\frac{32+1}{4}-\frac{4\times 5+3}{5}$$

Add 32 and 1 to get 33.

$$\frac{33}{4}-\frac{4\times 5+3}{5}$$

Multiply 4 and 5 to get 20.

$$\frac{33}{4}-\frac{20+3}{5}$$

Add 20 and 3 to get 23.

$$\frac{33}{4}-\frac{23}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{33}{4} and \frac{23}{5} to fractions with denominator 20.

$$\frac{165}{20}-\frac{92}{20}$$

Since \frac{165}{20} and \frac{92}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{165-92}{20}$$

Subtract 92 from 165 to get 73.

$$\frac{73}{20}$$

Factor

$$\frac{73}{2 ^ {2} \cdot 5} = 3\frac{13}{20} = 3.65$$