Conversion of Mixed Numbers to Improper Fractions

The cake needs to be cut

Grandma baked three cakes for the family party. Max has already eaten three pieces.

If you have studied the last page about Mixed Numbers, you know that there are still two and five-eighths (as mixed number) or 21 eighths of cake (as improper fraction).

This page is about the conversion from the first to the second notation:


The denominator specifies how many pieces a whole cake was divided into. This is the same in both notations!

The numerator specifies how many pieces there are. In the mixed notation there 2 wohle cakes in addition to 5 pieces of cake.

The whole cakes each are divided into 8 pieces (2 * 8 = 16), so that you get a total of 21 pieces (16 + 5 = 21) kommt.


Formula:
Conversion of Mixed Numbers to Improper Fractions

When it comes to converting a mixed number into an improper fraction, it's a bit easier:

  1. Multiply the whole number part of the mixed number with the denominator (orange)
  2. Add to this result the numerator of the mixed number (brown) - this is the new numerator
  3. The denominator remains unchanged (green)

Conversion of Mixed Numbers to Improper Fraction

Another example:

  1. The 2 whole become 4 halves.
  2. The 1 half is added - all in all we get 5 halves.
  3. The denominator 2 remains unchanged.

Online Exercise: Conversion of Mixed Numbers to Improper Fractions

You can practice the conversion of mixed numbers to improper fractions online:

If you have any problems with the excercise, please have a look at the hint and the sample solution first.

Video: Conversion of Mixed Numbers to Improper Fractions

Finally, a video about: Change a Mixed Number to an Improper Fraction:


Let's continue with:
Converting Improper Fractions to Mixed Numbers