Solve 6/104/9+4/106/9

$$\frac{ 6 }{ 10 } \frac{ 4 }{ 9 } + \frac{ 4 }{ 10 } \frac{ 6 }{ 9 }$$

Evaluate

$$\frac{8}{15}\approx 0.533333333$$

Solution Steps

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}\times \frac{4}{9}+\frac{4}{10}\times \frac{6}{9}$$

Multiply \frac{3}{5} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 4}{5\times 9}+\frac{4}{10}\times \frac{6}{9}$$

Do the multiplications in the fraction \frac{3\times 4}{5\times 9}.

$$\frac{12}{45}+\frac{4}{10}\times \frac{6}{9}$$

Reduce the fraction \frac{12}{45} to lowest terms by extracting and canceling out 3.

$$\frac{4}{15}+\frac{4}{10}\times \frac{6}{9}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{15}+\frac{2}{5}\times \frac{6}{9}$$

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

$$\frac{4}{15}+\frac{2}{5}\times \frac{2}{3}$$

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

$$\frac{4}{15}+\frac{2\times 2}{5\times 3}$$

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

$$\frac{4}{15}+\frac{4}{15}$$

Since \frac{4}{15} and \frac{4}{15} have the same denominator, add them by adding their numerators.

$$\frac{4+4}{15}$$

Add 4 and 4 to get 8.

$$\frac{8}{15}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 5} = 0.5333333333333333$$