Question

express 0.325 in the form of p/q​

Answer 1

0.325 expressed in form of p/q is $\frac{13}{4}$

Solution:

We have to express 0.325 in the form of p/q

p/q is simplest ratio in which the number can be expressed

A rational number can be expressed as the quotient or fraction p/q of two integers, numerator p and non-zero denominator q

In 0.325, there are 3 numbers after the decimal so we can write 0.325 in following way:

$0.325=\frac{325}{100}$

On reducing to lowest terms:

Cancel the common factors of numerator and denominator

$\frac{325}{100}=\frac{65}{20}=\frac{13}{4}$

$\frac{13}{4}$ cannot be simplified more and it is of the form $\frac{p}{q}$

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Answer 2

0.325 in form of $\frac{p}{q}$ is $\frac{13}{40}$.

Step-by-step explanation:

Given:

Suppose x = 0.325                [1]

On multiplying both sides of Eq (1) by 10, we get

10x = 3.25                              [2]

On multiplying both sides of Eq (2) by 100, we get

100x = 32.5                            [3]

On multiplying both sides of Eq (3) by 1000, we get

1000x = 325

$x=\frac{325}{1000}$

$x=\frac{13}{40}$

Therefore 0.325 in form of $\frac{p}{q}$ is $\frac{13}{40}$.