Solve 6/2+2/5*6/2+2/3

$$\frac { 6 } { 2 } + \frac { 2 } { 5 } \times \frac { 6 } { 2 } + \frac { 2 } { 3 }$$

Evaluate

$$\frac{73}{15}\approx 4.866666667$$

Solution Steps

Divide 6 by 2 to get 3.

$$3+\frac{2}{5}\times \frac{6}{2}+\frac{2}{3}$$

Divide 6 by 2 to get 3.

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

Express \frac{2}{5}\times 3 as a single fraction.

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

Multiply 2 and 3 to get 6.

$$3+\frac{6}{5}+\frac{2}{3}$$

Convert 3 to fraction \frac{15}{5}.

$$\frac{15}{5}+\frac{6}{5}+\frac{2}{3}$$

Since \frac{15}{5} and \frac{6}{5} have the same denominator, add them by adding their numerators.

$$\frac{15+6}{5}+\frac{2}{3}$$

Add 15 and 6 to get 21.

$$\frac{21}{5}+\frac{2}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{21}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{63}{15}+\frac{10}{15}$$

Since \frac{63}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{63+10}{15}$$

Add 63 and 10 to get 73.

$$\frac{73}{15}$$

Factor

$$\frac{73}{3 \cdot 5} = 4\frac{13}{15} = 4.866666666666666$$