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How to Convert a Mixed Number to an Improper Fraction

Although mixed numbers are great for everyday use, it is often easier to work with improper fractions when you want to solve math problems. To convert a mixed number to an improper fraction, follow these steps:

  1. Multiply the denominator of the fractional part by the whole number, and add the result to the numerator.

    For example, suppose you want to convert the mixed number


    to an improper fraction. First, multiply 3 by 5 and add 2:

    (3 · 5) + 2 = 17

  2. Use this result as your numerator, and place it over the denominator you already have.

    Place this result over the denominator:


    This method works for all mixed numbers. Furthermore, if you start with the fractional part reduced, the answer will also be reduced.

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