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Year 8 Interactive Maths - Second Edition


Fractions


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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