Question

Use the apartments property to generate an equivalent expression 2 9 and 3/5 / 9 and 1/5 what is the simplified exponent

Answer 1

To simplify the expression \(2 \frac{9}{5} \div 9 \frac{1}{5}\), we first need to convert the mixed numbers into improper fractions.

1. Convert \(2 \frac{9}{5}\):
\[
2 \frac{9}{5} = 2 + \frac{9}{5} = \frac{10}{5} + \frac{9}{5} = \frac{19}{5}
\]

2. Convert \(9 \frac{1}{5}\):
\[
9 \frac{1}{5} = 9 + \frac{1}{5} = \frac{45}{5} + \frac{1}{5} = \frac{46}{5}
\]

Now, the original expression \(2 \frac{9}{5} \div 9 \frac{1}{5}\) becomes:
\[
\frac{19}{5} \div \frac{46}{5}
\]

To divide fractions, we multiply by the reciprocal:
\[
\frac{19}{5} \times \frac{5}{46}
\]

The \(5\)s in the numerator and denominator cancel out:
\[
\frac{19}{1} \times \frac{1}{46} = \frac{19}{46}
\]

So, the simplified result of \(2 \frac{9}{5} \div 9 \frac{1}{5}\) is:
\[
\frac{19}{46}
\]

If you were asking about "the simplified exponent," it seems there may have been a misunderstanding, as exponents were not part of the initial expression given. If you were referring to a different expression or need further clarification on exponents, please let me know!