Solve 3/17*12/17+6/13*12/17

$$\frac { 3 } { 17 } \times \frac { 12 } { 17 } + \frac { 6 } { 13 } \times \frac { 12 } { 17 }$$

Evaluate

$$\frac{1692}{3757}\approx 0.450359329$$

Solution Steps

Multiply \frac{3}{17} times \frac{12}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 12}{17\times 17}+\frac{6}{13}\times \frac{12}{17}$$

Do the multiplications in the fraction \frac{3\times 12}{17\times 17}.

$$\frac{36}{289}+\frac{6}{13}\times \frac{12}{17}$$

Multiply \frac{6}{13} times \frac{12}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{36}{289}+\frac{6\times 12}{13\times 17}$$

Do the multiplications in the fraction \frac{6\times 12}{13\times 17}.

$$\frac{36}{289}+\frac{72}{221}$$

Least common multiple of 289 and 221 is 3757. Convert \frac{36}{289} and \frac{72}{221} to fractions with denominator 3757.

$$\frac{468}{3757}+\frac{1224}{3757}$$

Since \frac{468}{3757} and \frac{1224}{3757} have the same denominator, add them by adding their numerators.

$$\frac{468+1224}{3757}$$

Add 468 and 1224 to get 1692.

$$\frac{1692}{3757}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 47}{13 \cdot 17 ^ {2}} = 0.4503593292520628$$