Final answer:
To convert 71% to a fraction, write it as 71/100. Since 71 is a prime number, the fraction cannot be simplified any further, so 71/100 is the fraction in its lowest terms.
Step-by-step explanation:
To convert 71% to a fraction in its simplest form, you start by writing it as a fraction with a denominator of 100, which would be 71/100. To reduce this fraction to the lowest terms, you look for the greatest common factor (GCF) of the numerator and denominator. Since 71 is a prime number, it has no factors other than 1 and 71. Therefore, 71/100 cannot be simplified any further, and it is already in its lowest terms.
Remember, when converting percents into a fraction form, you always start with the percentage over 100, and then simplify if possible. A percent represents a fractional amount where the whole is divided into 100 parts, so expressing a percent as a fraction helps in understanding its value in terms of a whole.
Additionally, when dealing with percents, it's helpful to recall that a percentage like 50% can be easily translated to 1/2, as 50 is half of 100. But with prime numbers like 71, you cannot simplify the fraction further since they are not divisible by other numbers. This is an essential part of working with calculating percents and conversions in mathematics.