Solve 22/5+12/3=

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

Evaluate

$$\frac{61}{15}\approx 4.066666667$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+2}{5}+\frac{1\times 3+2}{3}$$

Add 10 and 2 to get 12.

$$\frac{12}{5}+\frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{12}{5}+\frac{3+2}{3}$$

Add 3 and 2 to get 5.

$$\frac{12}{5}+\frac{5}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{12}{5} and \frac{5}{3} to fractions with denominator 15.

$$\frac{36}{15}+\frac{25}{15}$$

Since \frac{36}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.

$$\frac{36+25}{15}$$

Add 36 and 25 to get 61.

$$\frac{61}{15}$$

Factor

$$\frac{61}{3 \cdot 5} = 4\frac{1}{15} = 4.066666666666666$$