Proper Fraction
If the numerator is smaller than the denominator, then the fraction is
said to be a proper fraction.
Note:
Proper fractions are smaller than 1.
Improper Fraction
If the numerator is greater than the denominator, then the fraction is
said to be an improper fraction.
Note:
Improper fractions are greater than 1.
Equivalent Fractions
We notice that:
In general:
The numerator of a fraction and denominator of a fraction can be multiplied
by the same number without altering the value of the fraction.
In general:
The numerator of a fraction and denominator of a fraction can be divided
by the same number without altering the value of the fraction.
Example 1
Solution:
We find, by trial and error, that 7 divides into both the numerator and
denominator.
Setting out:
Usually, we set out the solution as follows:
Note:
Key Terms
fraction, numerator, denominator,
proper fraction, improper fraction,
equivalent fraction, simplest form,
cancelling
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