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Mixed Numbers & Improper Fractions

Maths: KS3, topic 1.3.7

Mixed Numbers & Improper Fractions

Here is how to convert from a mixed number to an improper fraction and vice versa:

Example 1

Example 1

  • Convert 73\dfrac{7}{3} to a mixed number.
  • First, find how many times the denominator fits as a whole, then write the remainder as a fraction.
  • Then, simplify the whole number part and combine.
Example 2

Example 2

  • Convert 3123\dfrac{1}{2} to an improper fraction
  • First, multiply the whole number (33) by a fraction equal to 1 using the denominator (22\dfrac{2}{2}).
  • Then add the remaining fraction.
  • Finally, multiply and add the fractions.

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