The number 71875 can be expressed as a fraction in its simplest form by dividing it by the total number of parts it represents, which is typically a power of 10 due to its decimal nature. However, since 71875 is an integer, it is already in its simplest fractional form as 71875⁄1.
To explore its representation further, let’s break it down:
Step 1: Factorize the Number
First, factorize 71875 to understand its prime components: [ 71875 = 5^4 \times 23 ]
Step 2: Express as a Fraction
Since 71875 is an integer, it can be written as: [ \frac{71875}{1} ]
Step 3: Decimal Representation
If we were to express 71875 as a fraction of a power of 10 (e.g., for decimal purposes), we could write: [ 71875 = 71875.0 = \frac{71875}{1} ]
However, if we consider it as part of a larger whole (e.g., a percentage or a fraction of 100,000), we can express it as: [ \frac{71875}{100000} = \frac{2875}{4000} = \frac{115}{160} = \frac{23}{32} ]
Simplified Fraction
The simplest fractional form of 71875, when considering it as part of a larger whole (e.g., 100,000), is: [ \boxed{\frac{23}{32}} ]
Key Takeaway
The integer 71875 is most simply expressed as the fraction \frac{71875}{1}. When considering it as part of a larger whole (e.g., 100,000), it simplifies to \frac{23}{32}.
FAQ Section
What is 71875 as a fraction in its simplest form?
+71875 as a fraction in its simplest form is (\frac{71875}{1}), as it is an integer.
How do you convert 71875 to a fraction of 100,000?
+To convert 71875 to a fraction of 100,000, divide both the numerator and denominator by their greatest common divisor, resulting in (\frac{23}{32}).
What is the prime factorization of 71875?
+The prime factorization of 71875 is (5^4 \times 23).
