Solve 13/5+23/4=

$$1 \frac { 3 } { 5 } + 2 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{87}{20}=4.35$$

Solution Steps

Multiply 1 and 5 to get 5.

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

Add 5 and 3 to get 8.

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

Multiply 2 and 4 to get 8.

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

Add 8 and 3 to get 11.

$$\frac{8}{5}+\frac{11}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{8}{5} and \frac{11}{4} to fractions with denominator 20.

$$\frac{32}{20}+\frac{55}{20}$$

Since \frac{32}{20} and \frac{55}{20} have the same denominator, add them by adding their numerators.

$$\frac{32+55}{20}$$

Add 32 and 55 to get 87.

$$\frac{87}{20}$$

Factor

$$\frac{3 \cdot 29}{2 ^ {2} \cdot 5} = 4\frac{7}{20} = 4.35$$