Solve 12/3-5/6-(-1)-7/12

$$1 \frac { 2 } { 3 } - \frac { 5 } { 6 } - ( - 1 ) - \frac { 7 } { 12 }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+2}{3}-\frac{5}{6}-\left(-1\right)-\frac{7}{12}$$

Add 3 and 2 to get 5.

$$\frac{5}{3}-\frac{5}{6}-\left(-1\right)-\frac{7}{12}$$

Least common multiple of 3 and 6 is 6. Convert \frac{5}{3} and \frac{5}{6} to fractions with denominator 6.

$$\frac{10}{6}-\frac{5}{6}-\left(-1\right)-\frac{7}{12}$$

Since \frac{10}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-5}{6}-\left(-1\right)-\frac{7}{12}$$

Subtract 5 from 10 to get 5.

$$\frac{5}{6}-\left(-1\right)-\frac{7}{12}$$

The opposite of -1 is 1.

$$\frac{5}{6}+1-\frac{7}{12}$$

Convert 1 to fraction \frac{6}{6}.

$$\frac{5}{6}+\frac{6}{6}-\frac{7}{12}$$

Since \frac{5}{6} and \frac{6}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{6}-\frac{7}{12}$$

Add 5 and 6 to get 11.

$$\frac{11}{6}-\frac{7}{12}$$

Least common multiple of 6 and 12 is 12. Convert \frac{11}{6} and \frac{7}{12} to fractions with denominator 12.

$$\frac{22}{12}-\frac{7}{12}$$

Since \frac{22}{12} and \frac{7}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-7}{12}$$

Subtract 7 from 22 to get 15.

$$\frac{15}{12}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$