Solve b/12/1+3/4+1/6

$$\frac { b } { 1 } \frac { 2 } { 1 } + \frac { 3 } { 4 } + \frac { 1 } { 6 }$$

Evaluate

$$2b+\frac{11}{12}$$

Solution Steps

Anything divided by one gives itself.

$$b\times \frac{2}{1}+\frac{3}{4}+\frac{1}{6}$$

Anything divided by one gives itself.

$$b\times 2+\frac{3}{4}+\frac{1}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{1}{6} to fractions with denominator 12.

$$b\times 2+\frac{9}{12}+\frac{2}{12}$$

Since \frac{9}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$b\times 2+\frac{9+2}{12}$$

Add 9 and 2 to get 11.

$$b\times 2+\frac{11}{12}$$

Factor

$$\frac{24b+11}{12}$$

Solution Steps

Factor out \frac{1}{12}.

$$\frac{24b+11}{12}$$

Consider 24b+9+2. Multiply and combine like terms.

$$24b+11$$

Rewrite the complete factored expression.

$$\frac{24b+11}{12}$$