Solve 6/22*14/21+12/22*6/21

$$\frac { 6 } { 22 } \cdot \frac { 14 } { 21 } + \frac { 12 } { 22 } \cdot \frac { 6 } { 21 }$$

Evaluate

$$\frac{26}{77}\approx 0.337662338$$

Solution Steps

Reduce the fraction \frac{6}{22} to lowest terms by extracting and canceling out 2.

$$\frac{3}{11}\times \frac{14}{21}+\frac{12}{22}\times \frac{6}{21}$$

Reduce the fraction \frac{14}{21} to lowest terms by extracting and canceling out 7.

$$\frac{3}{11}\times \frac{2}{3}+\frac{12}{22}\times \frac{6}{21}$$

Multiply \frac{3}{11} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 2}{11\times 3}+\frac{12}{22}\times \frac{6}{21}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{11}+\frac{12}{22}\times \frac{6}{21}$$

Reduce the fraction \frac{12}{22} to lowest terms by extracting and canceling out 2.

$$\frac{2}{11}+\frac{6}{11}\times \frac{6}{21}$$

Reduce the fraction \frac{6}{21} to lowest terms by extracting and canceling out 3.

$$\frac{2}{11}+\frac{6}{11}\times \frac{2}{7}$$

Multiply \frac{6}{11} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{11}+\frac{6\times 2}{11\times 7}$$

Do the multiplications in the fraction \frac{6\times 2}{11\times 7}.

$$\frac{2}{11}+\frac{12}{77}$$

Least common multiple of 11 and 77 is 77. Convert \frac{2}{11} and \frac{12}{77} to fractions with denominator 77.

$$\frac{14}{77}+\frac{12}{77}$$

Since \frac{14}{77} and \frac{12}{77} have the same denominator, add them by adding their numerators.

$$\frac{14+12}{77}$$

Add 14 and 12 to get 26.

$$\frac{26}{77}$$

Factor

$$\frac{2 \cdot 13}{7 \cdot 11} = 0.33766233766233766$$