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How to Write the Remainder As a Fraction in 5682/4

In math, converting improper fractions to whole numbers can be confusing. If the numerator is equally divisible by the denominator, the result is a whole number. If the numerator is not equally divisible by the denominator, the result is a mixed number. The fraction 5682/4 is an improper fraction. When properly divided, there is a remainder. You can write the remainder as a decimal or a fraction.

Things You'll Need

  • Pencil
  • Paper
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Instructions

    • 1

      Divide the numerator 5,682 by 4. Do this using the long division method on paper.

    • 2

      Record the results of the math problem. The long division method gives the result of 1,420 with a remainder of 2.

    • 3

      Convert the remainder of the long division problem. Write the solution as a mixed number. Write the whole number solution, 1,420, and then the remainder 2 over the original denominator 4. The entire mixed number solution is 1,420 2/4.

    • 4

      Simplify 2/4. Divide it by the largest common factor, which is 2. The result is 1/2.

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