Question

The pq form of 0.3 is dash

Answer 1

Answer:

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Let x = 0.3333...... Eq. 1

Since the Repeating Block of Digits is only One, we multiply x by 10.

Therefore, 10x = 3.3333..... Eq.2

Subtracting Eq. 1 from Eq. 2, we get -

$10x = 3.3333.... \\ - x = 0.3333.... \\ = 9x = 3.0000....$

$9x = 3.0 \\ therefore \: x = \frac{3}{9} = \frac{1}{3}$

x = 1/3 is in its Simplest Form.

Therefore,

0.3333..... = 1/3.

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