Page 209 - Math_Genius_V1.0_C6_Flipbook

E:\Working\Focus_Learning\Math_Genius-6\Open_Files\10_Chapter_7\Chapter_7
\ 07-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

Fraction as a Part of a Collection

Fraction represents a part of a collection as well.

Suppose we have a collection of 9 squares and we need to
2
shade of them.
3

2
To find of the collection of 9 squares, we first divide the 9
3
squares into 3 equal groups. Each group has 3 squares.

2
Now, to shade the of the given squares, we shade 2 out of
these 3 groups. 3
After counting, we find that there are 6 shaded squares,
2
which is equal to of the collection of 9 squares.
3

Here, numerator shows the number of parts and the denominator shows the total number of parts
of the collection.

1
Example 1: Find of 15 pizzas.
5
1
Solution: To find of 15 pizzas, we divide this collection into 5 equal groups and take 1 group
out of it as a part. 5
Clearly, 1 group out of 5 equal groups contain 3 pizzas.

1
Therefore, of 15 pizzas = 3 pizzas.
5
Example 2: What fraction of a year is 7 months?

Solution: We have, 1 year = 12 months
We can divide one year in 12 months. Quick Check
And each month will be a part of a year. What fraction of a week is Sunday?

∴ 7 months of a year = 7
12

207 Fractions