Solve (1+2/5)*2/9=

$$( 1 + \frac { 2 } { 5 } ) \cdot \frac { 2 } { 9 } =$$

Evaluate

$$\frac{14}{45}\approx 0.311111111$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

$$\left(\frac{5}{5}+\frac{2}{5}\right)\times \frac{2}{9}$$

Since \frac{5}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

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

Add 5 and 2 to get 7.

$$\frac{7}{5}\times \frac{2}{9}$$

Multiply \frac{7}{5} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 2}{5\times 9}$$

Do the multiplications in the fraction \frac{7\times 2}{5\times 9}.

$$\frac{14}{45}$$

Factor

$$\frac{2 \cdot 7}{3 ^ {2} \cdot 5} = 0.3111111111111111$$