Fraction as a Part of Collection
How to find fraction as a part of collection?
Let there be 14 rectangles forming
a box or rectangle.
Thus, it can be said that there is a collection of 14 rectangles, 2 rectangles in each row.
If it is folded into two halves,
each half will have 7 rectangles. So, we can say onehalf of 14 is 7.
Similarly, one half of 8 is 4 and
onehalf of 16 is 8.
Onehalf of 8 squares = 4
Thus, 1/2 = 4/8
That is, out of two equal parts,
one part is 1.
Out of two equal parts of 8 one
part is 4

Onehalf of a collection of 8 cups
= 4 cups
Thus, 1/2 = 4/8
1 and 4 are numerators
2 and 8 are denominators

The denominator or bottom number
of a fraction is the number of equal parts of a whole or a collection. The numerator
or top number of a fraction means how many equal parts of a whole or a
collection is considered.
3/5, 7/8, 2/3, 5/12, 7/16, 11/25,
6/15 are all fractions.
The top numbers of these fractions
are 3, 7, 2, 5, 7, 11 and 6. These numbers are called top numbers or numerators
of the related fractions.
The bottom numbers of these
fractions are 5, 8, 3, 12, 16, 25 and 15. These numbers are called bottom
numbers or denominators of the related fractions.
If we have 2 bananas in a basket counting 7 fruits. How many fruits have we in our whole set? How many bananas have we in our whole set?
We have 2 bananas out of 7 fruits which can be written as \(\frac{2}{7}\).
In the figure below, the strip has been divided in 8 equal parts. 3 parts of the strip are shaded. The shaded part represents threeeight of the strip. We write this as \(\frac{3}{8}\).
Number of unshaded parts are 5. Therefore, the unshaded part represents fiveeight of this strip. We write this as \(\frac{5}{8}\).
In the fraction \(\frac{3}{8}\), 3 represents the shaded part of the collection and the 8 represents the total number of parts. 3 is numerator and 8 is denominator of this fraction \(\frac{3}{8}\).
A fraction is made up of two partsnumerator and denominator. The numerator is written above the denominator separated by a short line.
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Related Concepts
● Fraction as a Part of a Whole
● Greater or Smaller Fraction
● Convert a Fraction to an Equivalent Fraction
● Verify Equivalent Fractions
● Proper Fraction and Improper Fraction
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3rd Grade Math Lessons
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