Solve 4/5+8-21/4

$$\frac{ 4 }{ 5 } +8- \frac{ 21 }{ 4 }$$

Evaluate

$$\frac{71}{20}=3.55$$

Solution Steps

Convert 8 to fraction \frac{40}{5}.

$$\frac{4}{5}+\frac{40}{5}-\frac{21}{4}$$

Since \frac{4}{5} and \frac{40}{5} have the same denominator, add them by adding their numerators.

$$\frac{4+40}{5}-\frac{21}{4}$$

Add 4 and 40 to get 44.

$$\frac{44}{5}-\frac{21}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{44}{5} and \frac{21}{4} to fractions with denominator 20.

$$\frac{176}{20}-\frac{105}{20}$$

Since \frac{176}{20} and \frac{105}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{176-105}{20}$$

Subtract 105 from 176 to get 71.

$$\frac{71}{20}$$

Factor

$$\frac{71}{2 ^ {2} \cdot 5} = 3\frac{11}{20} = 3.55$$