Advertisements
Advertisements
Question
Express the following decimal in the form `p/q`: `0.bar54`
Solution
Let `x=0.bar54`
⇒ x = 0.545454...
⇒ 100x = 54.5454....
⇒ 100x = 54 + 0.5454...
⇒ 100x = 54 + x
⇒ 100x - x = 54
⇒ 99x = 54
⇒ x = 54/99 = 6/11
Hence, `0.bar54=6/11`
APPEARS IN
RELATED QUESTIONS
Is zero a rational number? Can you write it in the form `p/q`, where p and q are integers and q ≠ 0?
State whether the following statement is true or false. Give reasons for your answer.
Every natural number is a whole number.
Express the following rational number as decimal:
`15/4`
Express the following rational number as decimal:
`-2/15`
Express the following decimal in the form `p/q` : 0.750
Express the following decimal in the form `p/q`: 1.0001
Find whether the following statement is true or false.
π is an irrational number.
Find whether the following statement is true or false.
Irrational numbers cannot be represented by points on the number line.
`"The value of "0.overline23 0.overline22 "is" `
Every rational number is ______.
