Solve 435/12+435/12+22

$$43 \frac { 5 } { 12 } + 43 \frac { 5 } { 12 } + 22$$

Evaluate

$$\frac{653}{6}\approx 108.833333333$$

Solution Steps

Multiply 43 and 12 to get 516.

$$\frac{516+5}{12}+\frac{43\times 12+5}{12}+22$$

Add 516 and 5 to get 521.

$$\frac{521}{12}+\frac{43\times 12+5}{12}+22$$

Multiply 43 and 12 to get 516.

$$\frac{521}{12}+\frac{516+5}{12}+22$$

Add 516 and 5 to get 521.

$$\frac{521}{12}+\frac{521}{12}+22$$

Since \frac{521}{12} and \frac{521}{12} have the same denominator, add them by adding their numerators.

$$\frac{521+521}{12}+22$$

Add 521 and 521 to get 1042.

$$\frac{1042}{12}+22$$

Reduce the fraction \frac{1042}{12} to lowest terms by extracting and canceling out 2.

$$\frac{521}{6}+22$$

Convert 22 to fraction \frac{132}{6}.

$$\frac{521}{6}+\frac{132}{6}$$

Since \frac{521}{6} and \frac{132}{6} have the same denominator, add them by adding their numerators.

$$\frac{521+132}{6}$$

Add 521 and 132 to get 653.

$$\frac{653}{6}$$

Factor

$$\frac{653}{2 \cdot 3} = 108\frac{5}{6} = 108.83333333333333$$