Solve 31/4+1-1/12

$$3 \frac { 1 } { 4 } + 1 - \frac { 1 } { 12 }$$

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+1}{4}+1-\frac{1}{12}$$

Add 12 and 1 to get 13.

$$\frac{13}{4}+1-\frac{1}{12}$$

Convert 1 to fraction \frac{4}{4}.

$$\frac{13}{4}+\frac{4}{4}-\frac{1}{12}$$

Since \frac{13}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

$$\frac{13+4}{4}-\frac{1}{12}$$

Add 13 and 4 to get 17.

$$\frac{17}{4}-\frac{1}{12}$$

Least common multiple of 4 and 12 is 12. Convert \frac{17}{4} and \frac{1}{12} to fractions with denominator 12.

$$\frac{51}{12}-\frac{1}{12}$$

Since \frac{51}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{51-1}{12}$$

Subtract 1 from 51 to get 50.

$$\frac{50}{12}$$

Reduce the fraction \frac{50}{12} to lowest terms by extracting and canceling out 2.

$$\frac{25}{6}$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$