1. The document discusses rational numbers and how to manipulate them. It explains that rational numbers are in the form of p/q where p and q are integers and q is not equal to 0. 2. It provides steps for converting fractions to their standard form by finding the highest common factor of the numerator and denominator and dividing both by it. It also explains how to find equivalent fractions by multiplying the numerator and denominator by the same number. 3. The document discusses how to compare unlike fractions by finding the least common multiple of the denominators to make them the same before comparing.

8. 1. 7/2
2.-4/5
3.6/4
4.-3/2
Que : What are these numbers?
Que : Tell me what is p and q in the
above questions.
Que : In which category do negative
numbers come under?

13. Que : Reduce :
1. -45/30
2. -3/15
3. 36/-24
To convert into standard form, find
the HCF first and divide it by
numerator and denominator.

14. We have two conditions for
standard form
1. Denominator should not be
negative.
2. Both denominator and
numerator contain no
common factor except 1.

15. To find the equivalent fractions for any given fraction,
multiply the numerator and the denominator by the same number.
For example, to find an equivalent fraction of 4/8, multiply the
numerator 2 and the denominator 8 by the same number, say, 2.
Thus, 8/16 is an equivalent fraction of 4/8.

16. Que : Which one is greater?
1. -2 or 3
2. 4 or 5
3. -5 or -6
4. -2/3 or -4/3
5. 4/6 or -2/6
You can easily find for like
fractions what about for
unlike fractions?
1. 2/3 or 3/4
Hint: Make the denominator
the same by taking the LCM
of the denominator.

17. SOLVE :
1. Convert -24/32 in its standard
form.
2. Which one is greater -¾ or ⅖ ?
3. Find 2 equivalent rational numbers
of ⅔.

18. 1. Rational numbers are those numbers which are in the form of
p/q where p and q are integers and q is not equal to 0.
1. All fractions are rational numbers but all rational numbers are
not fractional numbers.
1. To convert in standard form find the HCF of numerator and
denominator.
1. Equivalent rational numbers are those numbers that have the
same value but can be represented in different forms.
1. To compare, unlike rational numbers, find the LCM of the
denominator and make the denominator same.
RECAPITULATION