Final answer:
To express forty-seven hundredths as a fraction, write the number as it is said: 'forty-seven hundredths', which gives us the fraction 47/100. This corresponds to the correct answer, which is option (a) 47/100. It cannot be simplified further as 47 and 100 do not have common factors other than 1.
Step-by-step explanation:
The question asks to express forty-seven hundredths as a fraction. In decimal form, forty-seven hundredths is written as 0.47. To convert this decimal to a fraction, we write down the number as it would be said: 'forty-seven hundredths'. This translates to the fraction 47/100.
In a fraction, the number above the line (the numerator) represents how many parts we have, while the number below the line (the denominator) represents the total number of equal parts the whole is divided into. In this case, we have 47 parts out of 100, making the correct answer (a) 47/100. This fraction cannot be simplified further because 47 and 100 do not have any common factors other than 1.
Therefore, the correct option is a) 47/100.