# What is 2 7/27 + 8 5/9=?

Jun 4, 2018

$10 \frac{22}{27}$

#### Explanation:

Assuming you mean $2 \frac{7}{27} + 8 \frac{5}{9}$,
you can convert these into improper fractions (see here).

Now we have $\frac{54 + 7}{27} + \frac{72 + 5}{9} = \frac{61}{27} + \frac{77}{9}$
But we have two different denominators! So we have to make them similar. Remember that $9 \cdot 3 = 27$, so we can convert the right fraction to denominator 27.

$\frac{61}{27} + \frac{77 \cdot 3}{9 \cdot 3} = \frac{61}{27} + \frac{231}{27}$
Adding the numerators gets you $\frac{292}{27}$. If you use this then you can convert to $10 \frac{22}{27}$ (don't worry, the link explains the steps).

Jun 5, 2018

$\frac{292}{27} \mathmr{and} 10 \frac{22}{27}$

#### Explanation:

$2 \frac{7}{27} + 8 \frac{5}{9}$

$\therefore = \frac{61}{27} + \frac{77}{9}$

$\therefore = \frac{61 + 231}{27}$

$\therefore = \frac{292}{27}$

$\therefore = 10 \frac{22}{27}$