Improper fraction to mixed number

General
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improper fraction to mixed number

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How to Convert an Improper Fraction to a Mixed Number

Answer:
An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). A mixed number is a whole number combined with a proper fraction. To convert an improper fraction to a mixed number, follow these steps:

Steps for Conversion:

  1. Divide the Numerator by the Denominator:

    • Divide the numerator by the denominator to find the whole number part of the mixed number.
    • For example, for the improper fraction (\frac{17}{5}):
      17 \div 5 = 3 \text{ R } 2
    • Here, 3 is the quotient (whole part), and 2 is the remainder.

  2. Write Down the Whole Number:

    • The quotient obtained from the division is the whole number part of the mixed number.
    • In our example, the whole number part is (3).

  3. Express the Remainder as a Fraction:

    • The remainder from the division becomes the numerator of the fractional part, and the original denominator remains the same.
    • For (\frac{17}{5}), the remainder is 2, so the fraction part is (\frac{2}{5}).

  4. Combine the Whole Number and Fraction:

    • Combine the whole number part and fractional part to write the mixed number.
    • In the example, we get:
      3 \frac{2}{5}

Final Answer:
Converting the improper fraction (\frac{17}{5}) to a mixed number, we get (3 \frac{2}{5}).

Example for Clarity

Let’s convert another improper fraction, (\frac{23}{4}), to a mixed number.

  1. Divide the Numerator by the Denominator:

    23 \div 4 = 5 \text{ R } 3

    Here, 5 is the quotient (whole part), and 3 is the remainder.

  2. Write Down the Whole Number:
    The whole number part is (5).

  3. Express the Remainder as a Fraction:
    The fraction part is (\frac{3}{4}) since 3 is the remainder and 4 is the original denominator.

  4. Combine the Whole Number and Fraction:
    The mixed number is:

    5 \frac{3}{4}

Final Answer:
Converting the improper fraction \frac{23}{4} to a mixed number, we get 5 \frac{3}{4}

By following these simple steps, you can convert any improper fraction to a mixed number with ease.