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Numerator and Denominator of a Fraction

What are the numerator and denominator of a fraction?

We have already learnt that a fraction is written with two numbers arranged one over the other and separated by a line. The number under the line shows in how many equal parts the whole has been divided into. It is called denominator of the fraction. The number above the line shows how many parts of the whole have been taken. It is called numerator of the fraction. So in \(\frac{2}{3}\), 2 is the numerator and 3 is the denominator.

Numerator and Denominator of a Fraction: 

We can see that a fraction has two parts.

The number above the division line and the number below the division line. The number below the division line tells us into how many equal parts single or collection of object has been divided. We call it the Denominator. The number above the division line tells us how many of these equal parts have been taken from the whole. We call it the Numerator.

Read as 2 over 5 or two by five.

Numerator and Denominator of a Fraction


Fraction mean part of a region or part of a collection.

Numerator and Denominator
3/8 Coloured Mangoes

  \(\frac{3}{8}\)     \(\frac{\textrm{coloured mangoes}}{\textrm{mangoes in all}}\) 


  \(\frac{3}{8}\)     \(\frac{→}{→}\)     \(\frac{\textrm{Numerator}}{\textrm{Denominator}}\) 



Worksheet on Numerator and Denominator of a Fraction:

Questions on Numerator and Denominator of a Fraction:

I. Write the denominators and numerators-

Fraction

Numerator

Denominator

(i)

\(\frac{5}{8}\)

_____

_____

(ii)

\(\frac{1}{4}\)

_____

_____

(iii)

\(\frac{6}{2}\)

_____

_____

(iv)

\(\frac{2}{7}\)

_____

_____

(v)

\(\frac{4}{6}\)

_____

_____

(vi)

\(\frac{2}{3}\)

_____

_____

Answer:

I. (i) Numerator = 5 and Denominator 8

(ii) Numerator = 1 and Denominator 4

(iii) Numerator = 6 and Denominator 2

(iv) Numerator = 2 and Denominator 7

(v) Numerator = 4 and Denominator 6

(vi) Numerator = 2 and Denominator 3


II. Write the fractions-

Fraction

Numerator

Denominator

(i)

_____

2

3

(ii)

_____

8

9

(iii)

_____

5

8

(iv)

_____

1

6

(v)

_____

7

15

(vi)

_____

6

11

Answer:

II. (i) \(\frac{2}{3}\)

(ii) \(\frac{8}{9}\)

(iii) \(\frac{5}{8}\)

(iv) \(\frac{1}{6}\)

(v) \(\frac{7}{15}\)

(vi) \(\frac{6}{11}\)


III. Fill in the table -

Shaded Part of a Fraction

Figure

(i)

(ii)

(iii)

(iv)

(v)

Shaded parts (Numerator)

___

___

___

___

___

Number of parts (Denominator)

___

___

___

___

___

Fraction of shaded parts

___

___

___

___

___

Answer:

III. (i) Shaded parts (Numerator) = 1

Number of parts (Denominator) = 3

Fraction of shaded parts = \(\frac{1}{3}\)


(ii) Shaded parts (Numerator) = 6

Number of parts (Denominator) = 8

Fraction of shaded parts = \(\frac{6}{8}\)


(iii) Shaded parts (Numerator) = 4

Number of parts (Denominator) = 6

Fraction of shaded parts = \(\frac{4}{6}\)


(iv) Shaded parts (Numerator) = 3

Number of parts (Denominator) = 4

Fraction of shaded parts = \(\frac{3}{4}\)


(v) Shaded parts (Numerator) = 8

Number of parts (Denominator) = 16

Fraction of shaded parts = \(\frac{8}{16}\)


IV. Fill in the blanks _

(i) In \(\frac{10}{2}\) the numerator is _____ and the denominator is _____.

(ii) In \(\frac{9}{3}\) the denominator is _____ .

(iii) In \(\frac{10}{2}\) the numerator is _____ .


Answer:

IV. (i) 10; 2

(ii) 3

(iii) 10


V. How many fractions have the numerator '6'?

   \(\frac{6}{2}\), \(\frac{16}{2}\), \(\frac{3}{5}\), \(\frac{9}{3}\), \(\frac{6}{1}\)


Answer:

V. 2 fractions


VI. Write in fraction form -

(i) Numerator 30

        and

    Denominator 5

        ....

       ____

        ....

(ii) Numerator 9

        and

    Denominator 54

        ....

       ____

        ....

(iii) Numerator 15

        and

    Denominator 30

        ....

       ____

        ....

Answer:

VII. (i) \(\frac{30}{5}\)

(ii) \(\frac{9}{54}\)

(iii) \(\frac{15}{30}\)


VII. Write the fraction with:

(i) Numerator 2, Denominator 5

(ii) Numerator 4, Denominator 10

(iii) Numerator 3, Denominator 7

(iv) Numerator 1, Denominator 6

(v) Numerator 4, Denominator 8

_____

_____

_____

_____

_____

Answer:

VIII. (i) \(\frac{2}{5}\)

(ii) \(\frac{4}{10}\)

(iii) \(\frac{3}{7}\)

(iv) \(\frac{1}{6}\)

(v) \(\frac{4}{8}\)


The number above the line is called the 'numerator' of the fraction and the number below the line is called the 'denominator' of the fraction.

For example, in fraction \(\frac{7}{12}\), 7 is the numerator and 12 is the denominator.

Also, in fraction \(\frac{3}{8}\), 3 is the numerator 8 is the denominator.

Fractional Numbers

Concept of Fractions

Numerator and Denominator 



2nd Grade Math Practice

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