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Dividing Mixed Numbers

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Dividing Mixed Numbers

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Solution

Sure, here's how to divide mixed numbers step by step:

  1. Convert the mixed numbers into improper fractions: A mixed number is a whole number and a fraction combined into one "mixed" number. To convert a mixed number into an improper fraction, you multiply the whole number by the denominator of the fraction and then add the numerator. This result will be the numerator of the new fraction, and the denominator will remain the same.

  2. Flip the second fraction: Once you have two improper fractions, you need to take the reciprocal (or "flip") of the second fraction. This means you switch the numerator and the denominator.

  3. Multiply the fractions: Now, you can multiply the first fraction by the flipped second fraction. To do this, you multiply the numerators together and the denominators together.

  4. Simplify the fraction: If possible, simplify the fraction. You can do this by finding the greatest common factor of the numerator and the denominator and dividing both by this number.

  5. Convert back to a mixed number: If the fraction is improper, you can convert it back to a mixed number. You do this by dividing the numerator by the denominator. The quotient (without the remainder) becomes the whole number, and the remainder becomes the numerator of the fractional part. The denominator remains the same.

Remember to always simplify your final answer, if possible.

This problem has been solved

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