Solve 4+23/4+2/5=

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

Evaluate

$$\frac{143}{20}=7.15$$

Solution Steps

Multiply 2 and 4 to get 8.

$$4+\frac{8+3}{4}+\frac{2}{5}$$

Add 8 and 3 to get 11.

$$4+\frac{11}{4}+\frac{2}{5}$$

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

$$\frac{16}{4}+\frac{11}{4}+\frac{2}{5}$$

Since \frac{16}{4} and \frac{11}{4} have the same denominator, add them by adding their numerators.

$$\frac{16+11}{4}+\frac{2}{5}$$

Add 16 and 11 to get 27.

$$\frac{27}{4}+\frac{2}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{27}{4} and \frac{2}{5} to fractions with denominator 20.

$$\frac{135}{20}+\frac{8}{20}$$

Since \frac{135}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

$$\frac{135+8}{20}$$

Add 135 and 8 to get 143.

$$\frac{143}{20}$$

Factor

$$\frac{11 \cdot 13}{2 ^ {2} \cdot 5} = 7\frac{3}{20} = 7.15$$