Representation of a Fraction

Representation of a fraction is discussed here. In a simple fraction, there is a horizontal line. Above this line we write a number which is called the numerator.

Below this line we write another number which is called the denominator.

As, $\frac{5}{7}$ → $\frac{\textrm{Numerator}}{\textrm{Denominator}}$

In a fraction, there are two numbers. One number is written above a horizontal line (i.e., 5) and the other is written below it (i.e., 7). The top part is called the numerator and the bottom part is called the denominator. The horizontal line between both the numbers is called the fraction bar.

Actually, a fraction can be expressed only when we know two facts.

(i) Total number of equal parts, a whole is divided into. This is the denominator.

(ii) Total number of equal parts of the whole being considered. This is the numerator.

For example, 4/7 means that the whole is divided into 7 equal parts. 4 parts of the same is considered. Here, 4 is the numerator and 7 is the denominator.

$Four by Seven$

2/5 is a fraction. 2 is the numerator and 5 is the denominator. The numbers like ½, 1/3, 2/3, ¼, ¾ are called the fractional numbers.

Again, 5/6 is a fraction, we say it as five upon six.

Similarly, 7/8, 4/12. 15/10, 326/429, etc., are fractions.

A fraction means a part of a number.

Note:

A fractional number is formed with a whole and its part or parts.

Questions and Answers on Representation of a Fraction:

1. Write the given fractions in words. One is done for you.

(i) $\frac{2}{5}$ : two-fifth

(ii) $\frac{1}{3}$ : __________

(iii) $\frac{3}{4}$ : __________

(iv) $\frac{5}{12}$ : __________

(v) $\frac{3}{8}$ : __________

Answers:

(ii) One-third

(iii) Three-fourth

(iv) Five-twelveth

(v) Three-eightth

2. Give the fraction number for the given fractional names. One is done for you.

(i) Four-ninths : $\frac{4}{9}$

(ii) One-eighths : __________

(iii) One-fourths : __________

(iv) Six-thirteenths : __________

(v) Five-elevenths : __________

Answers:

(ii) $\frac{1}{8}$

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

(iv) $\frac{6}{13}$

(v) $\frac{5}{12}$

3. Write the fraction for the given. One has been done for you.

(i) Numerator = 7; Denominator = 9 → Fraction = $\frac{7}{9}$

(ii) Denominator = 8; Numerator = 3 → Fraction = __________

(iii) Numerator = 10; Denominator = 11 → Fraction = __________

(iv) Numerator = 8; Denominator = 15 → Fraction = __________

(v) Denominator = 15; Numerator = 11 → Fraction = __________

Answers:

(ii) $\frac{3}{8}$

(iii) $\frac{10}{11}$

(iv) $\frac{8}{158}$

(v) $\frac{11}{15}$

4. Identity the Numerator and denominator in the given fractions.

(i) $\frac{1}{6}$ → Numerator = ______; Denominator = ______

(ii) $\frac{3}{7}$ → Numerator = ______; Denominator = ______

(iii) $\frac{12}{17}$ → Numerator = ______; Denominator = ______

(iv) $\frac{9}{13}$ → Numerator = ______; Denominator = ______

$Representation of a Fraction$

Answers:

(i) Numerator = 1; Denominator = 6

(ii) Numerator = 3; Denominator = 7

(iii) Numerator = 12; Denominator = 17

(iv) Numerator = 9; Denominator = 13

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