To solve a division problem involving fractions using the "KEEP, CHANGE, FLIP" method, let's consider the division of two fractions \( \frac{a}{b} \div \frac{c}{d} \):
- Keep the first fraction as it is: \( \frac{a}{b} \)
- Change the division sign to multiplication: \( \times \)
- Flip the second fraction by taking its reciprocal: \( \frac{d}{c} \)
Therefore, the division problem can be rewritten as:
\[ \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} \]
Now, let's apply this to a specific example. If we are dividing \( \frac{-24}{55} \) by \( \frac{-15}{22} \), we would follow these steps:
- Keep: \( \frac{-24}{55} \)
- Change: from division to multiplication, giving us \( \times \)
- Flip: the second fraction \( \frac{-15}{22} \) to \( \frac{22}{-15} \)
This gives us:
\[ \frac{-24}{55} \div \frac{-15}{22} = \frac{-24}{55} \times \frac{22}{-15} \]
Now we multiply the numerators and the denominators:
\[ \frac{-24 \times 22}{55 \times -15} \]
The negatives cancel out:
\[ \frac{24 \times 22}{55 \times 15} \]
Now, we need to simplify this expression. Calculating the numbers:
- \( 24 \times 22 = 528 \)
- \( 55 \times 15 = 825 \)
Thus, we have:
\[ \frac{528}{825} \]
Next, we can simplify this fraction by finding the greatest common divisor (GCD) of 528 and 825. The GCD is 33.
Now we can reduce the fraction:
\[ \frac{528 \div 33}{825 \div 33} = \frac{16}{25} \]
So, the final answer is:
\[ \frac{16}{25} \]
None of the answer choices you provided match this final result. If you have more context or a specific problem statement, please share, and I can assist you further!
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