Solve 4+3/4+2/5

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

Evaluate

$$\frac{103}{20}=5.15$$

Solution Steps

Convert 4 to fraction \frac{16}{4}.

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

Since \frac{16}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

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

Add 16 and 3 to get 19.

$$\frac{19}{4}+\frac{2}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{19}{4} and \frac{2}{5} to fractions with denominator 20.

$$\frac{95}{20}+\frac{8}{20}$$

Since \frac{95}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

$$\frac{95+8}{20}$$

Add 95 and 8 to get 103.

$$\frac{103}{20}$$

Factor

$$\frac{103}{2 ^ {2} \cdot 5} = 5\frac{3}{20} = 5.15$$