Question

Show that 3.86 (bar only on six) is ratonal number​

Answer 1

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Let x = 3.86 ( bar on 6)

Multiply by 10

10x = 38.6 (bar on 6).......... eq 1)

Multiply by 10

100x = 386.6 ( bar on last 6).........eq 2)

Subtract eq 1 from eq 2

100x - 10x = 386.6 ( bar on last six) - 38.6 (bar on 6)

990x = 348

=> x = 348/990

Hence, 3.86 (bar on 6) is converted in the form p/q....

We can say that it is a rational number.

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