Question

show that 0.32777... can be expressed in the p/q form
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Answer 1

Answer:

x= 0.327777.....(1)

x=0.327bar

100x=327.7777..(2)

subtracting equation 1 from 2

100x-x= 327.77...-0.32777..

99x= 327.45

x=327.45/99

x=109.15/33

Answer 2

Answer:

Step-by-step explanation:

0.32777....

Let x equals to 0.32777....

X - 0.32777... ...... ( i )

We will multiply 100 in both sides since 32 is not recurring or repeating...

100 * x - 100 * 0.32777...

100x - 32.777... ........ ( ii )

Then we will multiply i from ii, we get

100x - x - 32.777... - 0.32777...

99x - 32.45

X - 32.45/99

X - 3245/99 * 1/100 ( by emiting the decimal point)

X - 32.45/99 ans

Or X - 3245/99 * 1/100 ans

Or X - 3245/9900 ans

All the 3 are valid but last is the prominent... One....

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