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Show that 0.3333…=0.3¯ can be expressed in the form p/q, where p and q are integers and q ≠ 0.
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Answer:
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Step-by-step explanation:
Let x = 0.3333….
Multiply with 10,
10x = 3.3333…
Now, 3.3333… = 3 + x (as we assumed x = 0.3333…)
Thus, 10x = 3 + x
10x – x = 3
9x = 3
x = 1/3
Therefore, 0.3333… = 1/3. Here, 1/3 is in the form of p/q and q ≠ 0.
Answered by
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Step-by-step explanation:
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