Final answer:
The tion equivalent to 0.27 is 2.7/10. Thus the correct option is (C).
Explaination:
When we convert a decimal number to a fraction, we need to find two integers, the numerator and the denominator, such that the decimal part is less than 1 and the whole number part is zero. In this case, we can find the numerator by multiplying the decimal number by 10, and then finding the integer part by rounding it down. The denominator will be 10. Therefore, 0.27 can be written as 27/100, which is equivalent to 2.7/10 in simplified form.Thus the correct option is (C).
To simplify a fraction, we need to divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 2.7 and 10 is 3. When we divide both the numerator and the denominator by 3, we get the simplified form of the fraction: 27/90 simplifies to 9/30 or 0.3 in decimal form. Therefore, option C is a more simplified form of this decimal number than option A or B.
In conclusion, option C is equivalent to 0.27 because it is a simplified form of the decimal number when converted into a fraction using the method explained above.