Solve 3(5/12+7/9)

$$3 ( \frac { 5 } { 12 } + \frac { 7 } { 9 } )$$

Evaluate

$$\frac{43}{12}\approx 3.583333333$$

Solution Steps

Least common multiple of 12 and 9 is 36. Convert \frac{5}{12} and \frac{7}{9} to fractions with denominator 36.

$$3\left(\frac{15}{36}+\frac{28}{36}\right)$$

Since \frac{15}{36} and \frac{28}{36} have the same denominator, add them by adding their numerators.

$$3\times \frac{15+28}{36}$$

Add 15 and 28 to get 43.

$$3\times \frac{43}{36}$$

Express 3\times \frac{43}{36} as a single fraction.

$$\frac{3\times 43}{36}$$

Multiply 3 and 43 to get 129.

$$\frac{129}{36}$$

Reduce the fraction \frac{129}{36} to lowest terms by extracting and canceling out 3.

$$\frac{43}{12}$$

Factor

$$\frac{43}{2 ^ {2} \cdot 3} = 3\frac{7}{12} = 3.5833333333333335$$