Dividing a fraction by another fraction involves a simple process. Here are the steps:
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Keep the First Fraction: Write down the first fraction (the one you are dividing).
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Change Division to Multiplication: Change the division sign to a multiplication sign.
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Flip the Second Fraction: Take the second fraction (the one you're dividing by) and flip it. This is known as finding the reciprocal of the fraction.
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Multiply: Multiply the first fraction by the reciprocal of the second fraction.
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Simplify (if necessary): If possible, simplify the resulting fraction.
Example
Let's say you want to divide \( \frac{2}{3} \) by \( \frac{4}{5} \):
- Keep the First Fraction: \( \frac{2}{3} \)
- Change Division to Multiplication: \( \frac{2}{3} \times \)
- Flip the Second Fraction: The reciprocal of \( \frac{4}{5} \) is \( \frac{5}{4} \).
- Multiply: \[ \frac{2}{3} \times \frac{5}{4} = \frac{2 \times 5}{3 \times 4} = \frac{10}{12} \]
- Simplify: \( \frac{10}{12} \) can be simplified to \( \frac{5}{6} \) by dividing both numerator and denominator by 2.
So, \( \frac{2}{3} รท \frac{4}{5} = \frac{5}{6} \).