Question

Evaluate the expression. Simplify if possible.
11 2/9 - (-4) = [__] [__]/[__]

Answer 1

To evaluate the expression \( 11 \frac{2}{9} - (-4) \), we first rewrite \( 11 \frac{2}{9} \) as an improper fraction.

1. Convert \( 11 \frac{2}{9} \) to an improper fraction:
\[
11 \frac{2}{9} = \frac{11 \times 9 + 2}{9} = \frac{99 + 2}{9} = \frac{101}{9}
\]

2. Next, we subtract \( -4 \), which is the same as adding \( 4 \):
\[
-(-4) = +4
\]

3. Convert \( 4 \) to a fraction with the same denominator:
\[
4 = \frac{4 \times 9}{9} = \frac{36}{9}
\]

4. Now we can combine the fractions:
\[
\frac{101}{9} + \frac{36}{9} = \frac{101 + 36}{9} = \frac{137}{9}
\]

The result \( \frac{137}{9} \) is already in the simplest form. To express this as a mixed number:

5. Divide \( 137 \) by \( 9 \) to find the whole number part and the remainder:
- \( 137 \div 9 = 15 \) remainder \( 2 \)

Thus, we can write:
\[
\frac{137}{9} = 15 \frac{2}{9}
\]

Putting it all together, the final simplified expression is:
\[
15 \frac{2}{9}
\]

So, \( 11 \frac{2}{9} - (-4) = 15 \frac{2}{9} \) can be presented as:
\[
[15] [2]/[9]
\]

Thus, the answer is \([15] [2]/[9]\).