Advertisements
Advertisements
प्रश्न
Express the following decimal in the form `p/q`: `0.bar621`
उत्तर
Let `x=0.bar621`
⇒ x = 0.621621621...
⇒ 1000x = 621.621621...
⇒ 1000x = 621 + 0.621621...
⇒ 1000x = 621 + x
⇒ 1000x - x = 621
⇒ 999x = 621
⇒ x = 621/999 = 207/333
⇒ x = 23/37
Hence, `0.bar621=23/37`
APPEARS IN
संबंधित प्रश्न
Find five rational numbers between `3/5` and `4/5`.
State whether the following statement is true or false. Give reasons for your answer.
Every natural number is a whole number.
State whether the following statement is true or false. Give reasons for your answers.
Every integer is a rational number.
Express the following rational number as decimal:
`-2/15`
Express the following rational number as decimal:
`33/26`
Express the following decimal in the form `p/q` : 0.750
Express the following decimal in the form `p/q` : 2.15
Express the following decimal in the form `p/q`: `0.bar37`
Express the following decimal in the form `p/q`: `4.bar7`
Find whether the following statement is true or false.
Every real number is either rational or irrational.