Solve 21/4+11/5=

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

Evaluate

$$\frac{69}{20}=3.45$$

Solution Steps

Multiply 2 and 4 to get 8.

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

Add 8 and 1 to get 9.

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

Multiply 1 and 5 to get 5.

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

Add 5 and 1 to get 6.

$$\frac{9}{4}+\frac{6}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{9}{4} and \frac{6}{5} to fractions with denominator 20.

$$\frac{45}{20}+\frac{24}{20}$$

Since \frac{45}{20} and \frac{24}{20} have the same denominator, add them by adding their numerators.

$$\frac{45+24}{20}$$

Add 45 and 24 to get 69.

$$\frac{69}{20}$$

Factor

$$\frac{3 \cdot 23}{2 ^ {2} \cdot 5} = 3\frac{9}{20} = 3.45$$