# How do you simplify 3 5/9 - 2 11/12?

Jun 13, 2017

By some arrangement, it is $\frac{23}{36}$

#### Explanation:

$\frac{27 + 5}{9} - \frac{24 + 11}{12}$

$\frac{32}{9} - \frac{35}{12}$

Enlarge the first term with 12 and the second term with 9 to get a common number:

$\frac{32 \times 12}{9 \times 12} - \frac{35 \times 9}{12 \times 9}$

$= \frac{384}{108} - \frac{315}{108}$

$= \frac{384 - 315}{108}$

$= \frac{69}{108}$

You can divide by 3 to get

$= \frac{23}{36}$

Your answer is $\frac{23}{36}$