1) Proper Fractions
Numerator < Denominator Proper fractions have the nominator part smaller than the denominator part.
for example
See how the top number is smaller than the bottom number in each example?
Numerator > Denominator or Numerator = Denominator, Improper fractions have the nominator part greater or equal to the denominator part
for example
See how the top number is bigger than (or equal to) the bottom number?
Mixed fractions have a whole number plus a fraction
for example
See how each example is made up of a whole number and a proper fraction together? That is why it is called a "mixed" fraction (or mixed number)
CONVERTING IMPROPER FRACTIONS TO MIXED FRACTIONS
Let us convert 7/2 to the improper fraction. The fraction 7/2 (or seven halves) means "7 divided by 2".
To convert an improper fraction to a mixed fraction, follow these steps:
- Divide the numerator by the denominator.
- Write down the whole number answer
- Then write down any remainder above the denominator.
Thus 7/2, or 7 divided by 2, is 3 remainder 1, so 7/2 = 3 1/2
Example 1: Write the fraction 17/3 as a mixed fraction.
Because 17 divided by 3 is 5 remainder.
Example 2: Convert 21/5 to a mixed fraction.
CONVERTING MIXED FRACTIONS TO IMPROPER FRACTIONS
Consider the mixed fraction 1 2/5. It reads as "one whole and two fifths".
There are 5 fifths in 1 whole.
And there are 2 fifths in 2/5 , giving 5 + 2 = 7 fifths altogether.
i.e. 1 2/5 = 7/5
To convert a mixed fraction to an improper fraction, follow these steps:
- Multiply the whole number part by the fraction's denominator.
- Add that to the numerator.
- Then write the result on top of the denominator.
Example 1: Write the mixed fraction 4 2/3 as an improper fraction.
Example 2: Convert 2 3/7 to an improper fraction.
Here's More Fractions, Simplifying Fractions, Comparing Fractions, Equivalent Fractions, Adding Fractions, Subtracting Fractions, Multiplying Fractions, Dividing Fractions
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