Solve 0.2+0.04/frac{6{9}}

$$\frac{ 0.2+0.04 }{ \frac{ 6 }{ 9 } }$$

Evaluate

$$0.36$$

Solution Steps

Add 0.2 and 0.04 to get 0.24.

$$\frac{0.24}{\frac{6}{9}}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{0.24}{\frac{2}{3}}$$

Divide 0.24 by \frac{2}{3} by multiplying 0.24 by the reciprocal of \frac{2}{3}.

$$0.24\times \frac{3}{2}$$

Convert decimal number 0.24 to fraction \frac{24}{100}. Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.

$$\frac{6}{25}\times \frac{3}{2}$$

Multiply \frac{6}{25} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 3}{25\times 2}$$

Do the multiplications in the fraction \frac{6\times 3}{25\times 2}.

$$\frac{18}{50}$$

Reduce the fraction \frac{18}{50} to lowest terms by extracting and canceling out 2.

$$\frac{9}{25}$$

Factor

$$\frac{3 ^ {2}}{5 ^ {2}} = 0.36$$