Solve 3/11*12/21+6/11*6/21

$$\frac { 3 } { 11 } \cdot \frac { 12 } { 21 } + \frac { 6 } { 11 } \cdot \frac { 6 } { 21 }$$

Evaluate

$$\frac{24}{77}\approx 0.311688312$$

Solution Steps

Reduce the fraction \frac{12}{21} to lowest terms by extracting and canceling out 3.

$$\frac{3}{11}\times \frac{4}{7}+\frac{6}{11}\times \frac{6}{21}$$

Multiply \frac{3}{11} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 4}{11\times 7}+\frac{6}{11}\times \frac{6}{21}$$

Do the multiplications in the fraction \frac{3\times 4}{11\times 7}.

$$\frac{12}{77}+\frac{6}{11}\times \frac{6}{21}$$

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

$$\frac{12}{77}+\frac{6}{11}\times \frac{2}{7}$$

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

$$\frac{12}{77}+\frac{6\times 2}{11\times 7}$$

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

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

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

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

Add 12 and 12 to get 24.

$$\frac{24}{77}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{7 \cdot 11} = 0.3116883116883117$$