Question

Express 0.75(bar above75) as a rational number

Answer 1

Answer:

1000

Step-by-step explanation:

0.75 (bar over 75) = 1333.34 x 075 = 1000

Answer 2

The required rational number is $\dfrac{25}{33}$

Step-by-step explanation:

Since we have given that

$0.\bar{75}$

We need to write it in rational number.

Let x = 0.757575 ---------------------------(1)

Multiply it with 100 on both the sides, we get that

$100x=75.7575$ -----------------------(2)

Subtracting (1) from (2), we get that

$100x-x=75.757575-0.757575\\\\99x=75\\\\x=\dfrac{75}{99}\\\\x=\dfrac{25}{33}$

Hence, the required rational number is $\dfrac{25}{33}$

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Express 0.75 as a rational number​

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