Question

Express 0.5bar in the form of p/q where p and q are integers and q is not equal to 0

Answer 1

Answer: 5/9

Step-by-step explanation:

let (x = 0.5bar) eq 1.

bar having on one number, so we multiply by 10 both the sides.

(10x = 5.5) eq 2.

from eq 1 and 2,

10x - x = 5.5 - 0.5

9x = 5

x = 5/9

Ans : 5/9

Answer 2

Concept:

A rational number is one that can be stated as the fraction or quotient of the numerator and denominator of two integers, p and q where q≠0, respectively.Every integer, such as 5 = 5 /1, is a rational number, as is, for instance, 3 / 7.

Real numbers that cannot be represented as a ratio are referred to as irrational numbers. In other terms, irrational numbers are real numbers that are not rational numbers.

For example e, π,√2 etc

Given:

0.5bar

Find:

Express 0.5bar in the form of p/q where p and q are integers and q is not equal to 0

Solution:

let x = 0.5bar -------------eq 1.

Only one number is recurring , so we multiply by 10 both the sides.

⇒10x = 5.5bar-------------- eq 2.

from eq 1 and 2,

⇒10x - x = 5.5 - 0.5

⇒9x = 5

⇒x = 5/9

Therefore, 0.5bar can be expressed as  5/9

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