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Q. Express . as a fraction.
- Recognize Decimal Places: To express the decimal as a fraction, we first need to recognize how many decimal places there are. There are four decimal places, so we can write as because moving the decimal point four places to the right turns into .
- Find Greatest Common Divisor: Now we have the fraction . To simplify this fraction, we need to find the greatest common divisor (GCD) of and . Using a GCD calculator or performing the Euclidean algorithm, we find that the GCD of and is .
- Simplify Fraction: We divide both the numerator and the denominator by the GCD to simplify the fraction. So, we divide and by , which gives us .
- Check for Further Reduction: After simplification, we check if the fraction can be reduced further. Since is a prime number, it cannot be divided by any number other than and itself without leaving a remainder. Therefore, the fraction is already in its simplest form.
