Write (93) as a fraction in simplest form. (93)=(93)/(100)
The Correct Answer and Explanation is :
The correct answer is: (\frac{93}{100})
The number 93 as a fraction is written as:
[
93 = \frac{93}{1}
]
However, based on the context, you’re asking for 93 in the form of a percentage, which would be:
[
93\% = \frac{93}{100}
]
This is already in its simplest form because the greatest common divisor (GCD) of 93 and 100 is 1. Since there are no common factors to simplify further, the fraction (\frac{93}{100}) cannot be reduced.
Explanation:
1. Understanding Percentages
A percentage represents a part of a whole, with 100 as the total. So, when you see 93%, it literally means 93 parts out of 100. This can be written mathematically as:
[
93\% = \frac{93}{100}
]
This fraction shows the ratio of 93 to 100, and it’s already in its simplest form because 93 and 100 share no common factors other than 1.
2. Simplifying Fractions
To simplify a fraction, you divide both the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD). The GCD of two numbers is the largest number that divides both without leaving a remainder.
In this case, the GCD of 93 and 100 is 1, because 93 is divisible by 3 and 31 (its prime factors), while 100 is divisible by 2 and 5 (its prime factors). Since no common prime factors exist between 93 and 100, the fraction cannot be simplified further.
3. Conclusion
The fraction (\frac{93}{100}) represents 93%, and it is already in its simplest form. Therefore, the correct answer is (\frac{93}{100}), and no further simplification is possible.