Solve 3/5*2/9+2/5+2/5*39

$$3 / 5 \cdot 2 / 9 + 2 / 5 + 2 / 5 \cdot 39$$

Evaluate

$$\frac{242}{15}\approx 16.133333333$$

Solution Steps

Multiply \frac{3}{5} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{5\times 9}+\frac{2}{5}+\frac{2}{5}\times 39$$

Do the multiplications in the fraction \frac{3\times 2}{5\times 9}.

$$\frac{6}{45}+\frac{2}{5}+\frac{2}{5}\times 39$$

Reduce the fraction \frac{6}{45} to lowest terms by extracting and canceling out 3.

$$\frac{2}{15}+\frac{2}{5}+\frac{2}{5}\times 39$$

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

$$\frac{2}{15}+\frac{6}{15}+\frac{2}{5}\times 39$$

Since \frac{2}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{2+6}{15}+\frac{2}{5}\times 39$$

Add 2 and 6 to get 8.

$$\frac{8}{15}+\frac{2}{5}\times 39$$

Express \frac{2}{5}\times 39 as a single fraction.

$$\frac{8}{15}+\frac{2\times 39}{5}$$

Multiply 2 and 39 to get 78.

$$\frac{8}{15}+\frac{78}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{8}{15} and \frac{78}{5} to fractions with denominator 15.

$$\frac{8}{15}+\frac{234}{15}$$

Since \frac{8}{15} and \frac{234}{15} have the same denominator, add them by adding their numerators.

$$\frac{8+234}{15}$$

Add 8 and 234 to get 242.

$$\frac{242}{15}$$

Factor

$$\frac{2 \cdot 11 ^ {2}}{3 \cdot 5} = 16\frac{2}{15} = 16.133333333333333$$