Here is a linear program on fraction which may help you learn the basic properties of fraction.

1. (Skinners linear program)
Topic : Fractions

3. FRAME 1
A number usually
express in the form
a/b is called a
fraction , where a
and b are whole
numbers
Is ¾ is a
fraction?

4. FRAME 2
Frame 1 answer : Yes
What is the
numerator of 3/8?
In any fraction a/b, a
is called numerator
of a/b.
Eg: In ½ , 1 is the
numerator.

5. FRAME 3
Frame 2 answer : 3
In any fraction a/b,
b is called the
denominator of a/b
Eg: In ½ , 2 is the
denominator.
Write a fraction in
which numerator is 4
and denominator is 8?

6. FRAME 4
Frame 3 answer : 4/8
If the numerator and
denominator are multiply by
a same number we will get
the equal fraction of that
fraction.
Eg :If numerator and
denominator of ½ is
multiplied by 3 then we will
get 3/6 which is an equal
fraction of ½.
Is 3/9 is an equal
fraction of 1/4?

7. FRAME 5
Frame 4 answer: No
When comparing two
fractions with like
numerators, the larger
fraction is one with great
denominator.
Eg: Among 1/5,2/5, 3/5;
3/5 is greater.
Which is greater
1/8 0r 4/8?

8. FRAME 6
Which is smaller 5/8
or 5/11?
Frame 5 answer:3/8
When comparing two fraction
with like numerators, the
larger fraction is one with
smaller denominator.
Eg: Among 3/4, 3/5,3/6;
3/4 is greater because it has
the smaller denominator.

9. FRAME 7
Which one is greater
4/12 or 3/8?
Frame 6 answer: 5/11
When comparing two
fractions a/b, p/q
If aq < bp then a/b < p/q.
Eg: If we compare 4/8
and 3/4 then 16 < 24
(by cross multiplying)
then 4/8 < 3/4.

10. FRAME 8
Find the sum of 4/7
and 5/6?
Frame 7 answer : 3/8
For any two fractions a/b
, p/q ;
a/b + p/q =(aq +bp)/bq
Eg: Consider 1/2 and
1/3,
Then 1/2 + 1/3 =(4+6)/8
= 10/8 = 5/4.

11. FRAME 9
Find the difference
of 4/8 and 1/5?
For any two fractions a/b
and p/q with p/q < a/b;
a/b – p/q = (aq – bp)/bq
Eg: consider 3/4 and 1/2;
3/4 – 1/2 = (6-4)/8 = 2/8
= 1/4.
Frame 8 answer : 59/42.

12. FRAME 10
Find the product of
1/7 and 8/11?
Frame 9 answer : 12/40 = 3/10
For any two
fractions a/b , p/q
a/b × p/q = ap/pq.
Eg : 2/3 × 5/7 =
(2×5) / (3×7) =
10/21

13. FRAME 11
Find 3/4 ÷ 1/2?
For any two fractions
a/b and p/q
a/b ÷ p/q = aq/bp
Eg : 5/11 ÷ 7/12 =
60/77
Frame 10 answer : 8/77

14. FRAME 12
Frame 11 answer : 6/4 = 3/2

15. Prepared by;
Muhsina T K