Solve 311/12-(-47/9)

$$3 \frac { 11 } { 12 } - ( - 4 \frac { 7 } { 9 } )$$

Evaluate

$$\frac{313}{36}\approx 8.694444444$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+11}{12}-\left(-\frac{4\times 9+7}{9}\right)$$

Add 36 and 11 to get 47.

$$\frac{47}{12}-\left(-\frac{4\times 9+7}{9}\right)$$

Multiply 4 and 9 to get 36.

$$\frac{47}{12}-\left(-\frac{36+7}{9}\right)$$

Add 36 and 7 to get 43.

$$\frac{47}{12}-\left(-\frac{43}{9}\right)$$

The opposite of -\frac{43}{9} is \frac{43}{9}.

$$\frac{47}{12}+\frac{43}{9}$$

Least common multiple of 12 and 9 is 36. Convert \frac{47}{12} and \frac{43}{9} to fractions with denominator 36.

$$\frac{141}{36}+\frac{172}{36}$$

Since \frac{141}{36} and \frac{172}{36} have the same denominator, add them by adding their numerators.

$$\frac{141+172}{36}$$

Add 141 and 172 to get 313.

$$\frac{313}{36}$$

Factor

$$\frac{313}{2 ^ {2} \cdot 3 ^ {2}} = 8\frac{25}{36} = 8.694444444444445$$