Solve 35/12-(-11/3)

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

Evaluate

$$\frac{19}{4}=4.75$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+5}{12}-\left(-\frac{1\times 3+1}{3}\right)$$

Add 36 and 5 to get 41.

$$\frac{41}{12}-\left(-\frac{1\times 3+1}{3}\right)$$

Multiply 1 and 3 to get 3.

$$\frac{41}{12}-\left(-\frac{3+1}{3}\right)$$

Add 3 and 1 to get 4.

$$\frac{41}{12}-\left(-\frac{4}{3}\right)$$

The opposite of -\frac{4}{3} is \frac{4}{3}.

$$\frac{41}{12}+\frac{4}{3}$$

Least common multiple of 12 and 3 is 12. Convert \frac{41}{12} and \frac{4}{3} to fractions with denominator 12.

$$\frac{41}{12}+\frac{16}{12}$$

Since \frac{41}{12} and \frac{16}{12} have the same denominator, add them by adding their numerators.

$$\frac{41+16}{12}$$

Add 41 and 16 to get 57.

$$\frac{57}{12}$$

Reduce the fraction \frac{57}{12} to lowest terms by extracting and canceling out 3.

$$\frac{19}{4}$$

Factor

$$\frac{19}{2 ^ {2}} = 4\frac{3}{4} = 4.75$$