Solve =(6/10*5/9)+(4/10*3/9)

$$= ( 6 / 10 \times 5 / 9 ) + ( 4 / 10 \times 3 / 9 )$$

Evaluate

$$\frac{7}{15}\approx 0.466666667$$

Solution Steps

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

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

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

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

Cancel out 5 in both numerator and denominator.

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

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

$$\frac{1}{3}+\frac{4}{10}\times \frac{3}{9}$$

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

$$\frac{1}{3}+\frac{2}{5}\times \frac{3}{9}$$

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

$$\frac{1}{3}+\frac{2}{5}\times \frac{1}{3}$$

Multiply \frac{2}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}+\frac{2\times 1}{5\times 3}$$

Do the multiplications in the fraction \frac{2\times 1}{5\times 3}.

$$\frac{1}{3}+\frac{2}{15}$$

Least common multiple of 3 and 15 is 15. Convert \frac{1}{3} and \frac{2}{15} to fractions with denominator 15.

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

Since \frac{5}{15} and \frac{2}{15} have the same denominator, add them by adding their numerators.

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

Add 5 and 2 to get 7.

$$\frac{7}{15}$$

Factor

$$\frac{7}{3 \cdot 5} = 0.4666666666666667$$