Question

p/q form of 3.45 bar on 5​

Answer 1

Step-by-step explanation:

let x = 3.455555..... (1)

eq.1 multiply by 10,

10x = 34.55555.... (2)

eq.1 multiply with 100,

100x = 345.55555... (3)

subtracting eq. 3 and eq. 2

100x = 345.55555....

10x = 34.55555......

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90x = 311

x = 311/90

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Answer 2

p/q form of $3.4\overline5$ is 311/90.

Given:

• $3.4\overline5$

To find:

• p/q form of given rational number.

Solution:

Step 1:

Let given number is x.

$x = 3.4555555...$

Step 2:

Multiply x with 10.

$10x = 34.55555... \: \: \: \: eq1$

Multiply x with 100

$100x = 345.55555... \: \: \: \: eq2$

Step 3:

Subtract eq1 from eq2

$100x = 345.5555... \\ - 10x = 034.5555... \\ - - - - - - - - - - \\ 90x = 311.0000... \\- - - - - - - - - -$

or

$90x = 311$

or

$\bf x = \frac{311}{90}$

Thus,

p/q form of $3.4\overline5$ is 311/90.

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Learn more:

1) Express in the form of p/q

12.53bar +0.23bar

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2) Convert rational number 1.325 in p/q form?

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