Question

fully simplify
4 / 4*3*3 / (13-11)

Answer 1

To simplify the expression \( \frac{4}{4 \times 3 \times 3} \div (13 - 11) \), we can follow these steps:

1. Simplify the denominator of the fraction:
\[
13 - 11 = 2
\]

2. Replace the expression:
\[
\frac{4}{4 \times 3 \times 3} \div 2
\]

3. Simplify \( 4 \times 3 \times 3 \):
\[
4 \times 3 \times 3 = 4 \times 9 = 36
\]

4. Replace the expression again:
\[
\frac{4}{36} \div 2
\]

5. Simplify \( \frac{4}{36} \):
\[
\frac{4}{36} = \frac{1}{9}
\]

6. Now, we need to perform the division by 2:
\[
\frac{1}{9} \div 2 = \frac{1}{9} \times \frac{1}{2} = \frac{1}{18}
\]

Thus, the fully simplified expression is:
\[
\boxed{\frac{1}{18}}
\]