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Show that 0.3333.....=0.3 can be expressed …

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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
  • 3 answers

Awadhesh Verma 3 years, 9 months ago

Yes

Harsh Singh 3 years, 9 months ago

x=0.333... ------- Equation 1 Since the repeating block has only one digit so we multiply x by 10. 10x = 3.333.... ----------- Equation 2 So, By subtracting equation 1 from equation 2, we get, 9x = 3 x = 3/9 x = 1/3

Himanshu Pawar 3 years, 9 months ago

X=0.3333..... 10x=3.3333..... Subtracting 10x-x=3.3333.....-0.333.... 9x=3 X=3/9 X=1/3
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