Innings2
Powered by Innings 2

Glossary

Select one of the keywords on the left…

Chapter 7: Fractions > Proper Fractions

Proper Fractions

We have now learnt how to locate fractions on a number line. Now, consider the fractions 34, 12, 910, 03, 58.

Do any one of the fractions lie beyond 1? All these fractions lie to the of 1 on the numberline as they are than 1.

In fact, all the fractions we have learnt so far are less than 1. These are fractions.

A proper fraction as Farida said in the previous section, is a number representing part of a whole. In a proper fraction, the denominator shows the number of parts into which the whole is divided into and the shows the number of parts which have been considered.

Therefore, in a proper fraction the numerator is always than the denominator.

1. Give a proper fraction.

(a) whose numerator is 5 and denominator is 7:

(b) whose denominator is 9 and numerator is 5:

(c) whose numerator and denominator add up to 10. How many fractions of this kind can you make?

Pairs of numbers having sum 10 = , , , ,

Therefore, the proper fractions are , , , .

(d) whose denominator is 4 more than the numerator.

Pairs of numbers having denominator 4 more than the numerator: , , ,

2. A fraction is given. How will you decide, by just looking at it, whether, the fraction is

(a) less than 1?

If the numerator is than the denominator , then the fraction will be less than .

(b) equal to 1?

If the numerator is to the denominator , then the fraction will be equal than .

Fill up using one of these : ‘>’, ‘<’ or ‘=’.

(a) 12 1

(b)35 1

(c)1 78

(d)44 1

(e)20052005 1