Question

p/q form of 20.05(bar on 5)

Answer 1

Answer:

let x be 20.05(5 bar)

periodicity =1

multiply with 10 on both the sides

10x=200.55...

-x=-20.05...

-------------------

9x= 180.5

x=180.5/9

180.5×10/9×10

1805/90

Answer 2

Answer:

Step-by-step explanation:

Concept:

In mathematics, any number that can be written as p/q where q is not equal to $0$ is considered a rational number. Additionally, every fraction that has an integer denominator and numerator and a denominator that is not zero falls into the category of rational numbers. The outcome of dividing a rational number, or fraction, will be a decimal number, either a terminating decimal or a repeating decimal.

Examine the following conditions to determine whether a number is rational or not.

• In the form of p/q, where q=$0$, it is shown.
• Further simplification and representation of the ratio p/q in decimal form are possible.

The collection of rational numbers:

• Include zero, positive, and negative numbers.
• possible fractional expression.

Given:

The  number $20.05(bar on 5)$

Find:

We have to find the p/q form of $20.05(bar on 5)$

Solution:

Given that the rational number $20.05(bar on 5)$

$x=20.055$

$10x=200.55---------(i)$

$100x=2005.5-------(ii)$

$(ii)-(i)$

$90x=1805$

$x=\frac{1805}{90}$

Hence p/q form of $20.05(bar on 5)$ is $\frac{1805}{90}$

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