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प्रश्न
Represent the following terminating decimal in the form of a rational number `bb(("in fraction form" p/q)`:
0.36
योग
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उत्तर
Given: Represent the terminating decimal 0.36 as a rational number in fraction form `p/q`.
Step-wise calculation:
1. Write 0.36 as a fraction with denominator a power of 10:
`0.36 = 36/100`
2. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD):
GCD of 36 and 100 = 4
`36/100`
= `(36 ÷ 4)/(100 ÷ 4)`
= `9/25`
`0.36 = 9/25` which is the required rational number in simplest fraction form.
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