Solve 3/7*2/9+7/9*3/7

$$\frac { 3 } { 7 } \cdot \frac { 2 } { 9 } + \frac { 7 } { 9 } \cdot \frac { 3 } { 7 }$$

Evaluate

$$\frac{3}{7}\approx 0.428571429$$

Solution Steps

Multiply \frac{3}{7} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{7\times 9}+\frac{7}{9}\times \frac{3}{7}$$

Do the multiplications in the fraction \frac{3\times 2}{7\times 9}.

$$\frac{6}{63}+\frac{7}{9}\times \frac{3}{7}$$

Reduce the fraction \frac{6}{63} to lowest terms by extracting and canceling out 3.

$$\frac{2}{21}+\frac{7}{9}\times \frac{3}{7}$$

Multiply \frac{7}{9} times \frac{3}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{21}+\frac{7\times 3}{9\times 7}$$

Cancel out 7 in both numerator and denominator.

$$\frac{2}{21}+\frac{3}{9}$$

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

$$\frac{2}{21}+\frac{1}{3}$$

Least common multiple of 21 and 3 is 21. Convert \frac{2}{21} and \frac{1}{3} to fractions with denominator 21.

$$\frac{2}{21}+\frac{7}{21}$$

Since \frac{2}{21} and \frac{7}{21} have the same denominator, add them by adding their numerators.

$$\frac{2+7}{21}$$

Add 2 and 7 to get 9.

$$\frac{9}{21}$$

Reduce the fraction \frac{9}{21} to lowest terms by extracting and canceling out 3.

$$\frac{3}{7}$$

Factor

$$\frac{3}{7} = 0.42857142857142855$$