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.

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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 one-half of 14 is 7.

Similarly, one- half of 8 is 4 and one-half of 16 is 8.

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One-half 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

Fraction

One-half 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?

Fraction as a Part of Collection

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 three-eight of the strip. We write this as \(\frac{3}{8}\).

3 by 8

Number of unshaded parts are 5. Therefore, the unshaded part represents five-eight 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 \(\frac{3}{8}\).

Numerator and Denominator

A fraction is made up of two parts-numerator and denominator. The numerator is written above the denominator separated by a short line.



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Fraction as a Part of a Whole

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