Solve +11/12-(-2/3)

$$+ 1 \frac { 1 } { 12 } - ( \frac { - 2 } { 3 } )$$

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Multiply 1 and 12 to get 12.

$$\frac{12+1}{12}-\frac{-2}{3}$$

Add 12 and 1 to get 13.

$$\frac{13}{12}-\frac{-2}{3}$$

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$\frac{13}{12}-\left(-\frac{2}{3}\right)$$

The opposite of -\frac{2}{3} is \frac{2}{3}.

$$\frac{13}{12}+\frac{2}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{13}{12} and \frac{2}{3} to fractions with denominator 12.

$$\frac{13}{12}+\frac{8}{12}$$

Since \frac{13}{12} and \frac{8}{12} have the same denominator, add them by adding their numerators.

$$\frac{13+8}{12}$$

Add 13 and 8 to get 21.

$$\frac{21}{12}$$

Reduce the fraction \frac{21}{12} to lowest terms by extracting and canceling out 3.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$