Solve {l}{21/4+}{+21/5}

$$\left. \begin{array} { l } { 2 \frac { 1 } { 4 } + } \\ { + 2 \frac { 1 } { 5 } } \end{array} \right.$$

Evaluate

$$\frac{89}{20}=4.45$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}+\frac{2\times 5+1}{5}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}+\frac{2\times 5+1}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{9}{4}+\frac{10+1}{5}$$

Add 10 and 1 to get 11.

$$\frac{9}{4}+\frac{11}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{9}{4} and \frac{11}{5} to fractions with denominator 20.

$$\frac{45}{20}+\frac{44}{20}$$

Since \frac{45}{20} and \frac{44}{20} have the same denominator, add them by adding their numerators.

$$\frac{45+44}{20}$$

Add 45 and 44 to get 89.

$$\frac{89}{20}$$

Factor

$$\frac{89}{2 ^ {2} \cdot 5} = 4\frac{9}{20} = 4.45$$