Solve 43/6+37/2+76/3

$$\frac{ 43 }{ 6 } + \frac{ 37 }{ 2 } + \frac{ 76 }{ 3 }$$

Evaluate

$$51$$

Solution Steps

Least common multiple of 6 and 2 is 6. Convert \frac{43}{6} and \frac{37}{2} to fractions with denominator 6.

$$\frac{43}{6}+\frac{111}{6}+\frac{76}{3}$$

Since \frac{43}{6} and \frac{111}{6} have the same denominator, add them by adding their numerators.

$$\frac{43+111}{6}+\frac{76}{3}$$

Add 43 and 111 to get 154.

$$\frac{154}{6}+\frac{76}{3}$$

Reduce the fraction \frac{154}{6} to lowest terms by extracting and canceling out 2.

$$\frac{77}{3}+\frac{76}{3}$$

Since \frac{77}{3} and \frac{76}{3} have the same denominator, add them by adding their numerators.

$$\frac{77+76}{3}$$

Add 77 and 76 to get 153.

$$\frac{153}{3}$$

Divide 153 by 3 to get 51.

$$51$$

Factor

$$3\times 17$$