Solve 21/5+13/4=

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

Evaluate

$$\frac{79}{20}=3.95$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+1}{5}+\frac{1\times 4+3}{4}$$

Add 10 and 1 to get 11.

$$\frac{11}{5}+\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{11}{5}+\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{11}{5}+\frac{7}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{11}{5} and \frac{7}{4} to fractions with denominator 20.

$$\frac{44}{20}+\frac{35}{20}$$

Since \frac{44}{20} and \frac{35}{20} have the same denominator, add them by adding their numerators.

$$\frac{44+35}{20}$$

Add 44 and 35 to get 79.

$$\frac{79}{20}$$

Factor

$$\frac{79}{2 ^ {2} \cdot 5} = 3\frac{19}{20} = 3.95$$