Solve 13/5+13/4

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

Evaluate

$$\frac{67}{20}=3.35$$

Solution Steps

Multiply 1 and 5 to get 5.

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

Add 5 and 3 to get 8.

$$\frac{8}{5}+\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

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

Add 4 and 3 to get 7.

$$\frac{8}{5}+\frac{7}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{8}{5} and \frac{7}{4} to fractions with denominator 20.

$$\frac{32}{20}+\frac{35}{20}$$

Since \frac{32}{20} and \frac{35}{20} have the same denominator, add them by adding their numerators.

$$\frac{32+35}{20}$$

Add 32 and 35 to get 67.

$$\frac{67}{20}$$

Factor

$$\frac{67}{2 ^ {2} \cdot 5} = 3\frac{7}{20} = 3.35$$