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How to Convert Mixed Number to Improper Fraction

Last Updated : 14 Feb, 2024
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Answer: To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place the result over the denominator.

To convert a mixed number (a whole number combined with a fraction) to an improper fraction, follow these steps:

  1. Multiply the whole number by the denominator of the fractional part.
  2. Add the result to the numerator of the fractional part.
  3. Place the combined numerator over the original denominator to obtain the improper fraction.

For example, to convert the mixed number 2 1/3 to an improper fraction:

  1. Multiply the whole number (2) by the denominator of the fractional part (3): 2 × 3 = 6.
  2. Add the result (6) to the numerator of the fractional part (1): 6 + 1 = 7.
  3. Place the combined numerator (7) over the original denominator (3) to get the improper fraction 7/3.

So, the mixed number 2 1/3 is equivalent to the improper fraction 7/3.


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