Solve 31/12-(-44/9)

$$3 \frac { 1 } { 12 } - ( - 4 \frac { 4 } { 9 } )$$

Evaluate

$$\frac{271}{36}\approx 7.527777778$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+1}{12}-\left(-\frac{4\times 9+4}{9}\right)$$

Add 36 and 1 to get 37.

$$\frac{37}{12}-\left(-\frac{4\times 9+4}{9}\right)$$

Multiply 4 and 9 to get 36.

$$\frac{37}{12}-\left(-\frac{36+4}{9}\right)$$

Add 36 and 4 to get 40.

$$\frac{37}{12}-\left(-\frac{40}{9}\right)$$

The opposite of -\frac{40}{9} is \frac{40}{9}.

$$\frac{37}{12}+\frac{40}{9}$$

Least common multiple of 12 and 9 is 36. Convert \frac{37}{12} and \frac{40}{9} to fractions with denominator 36.

$$\frac{111}{36}+\frac{160}{36}$$

Since \frac{111}{36} and \frac{160}{36} have the same denominator, add them by adding their numerators.

$$\frac{111+160}{36}$$

Add 111 and 160 to get 271.

$$\frac{271}{36}$$

Factor

$$\frac{271}{2 ^ {2} \cdot 3 ^ {2}} = 7\frac{19}{36} = 7.527777777777778$$