Expressing 75 as a Simple Fraction
Expressing a number as a simple fraction involves finding the ratio of that number to a whole number, typically 1. To express 75 as a simple fraction, we need to determine the whole number that 75 is a part of.
In this case, 75 can be expressed as a fraction of 100 since it is 75% of 100.
Calculating the Fraction
The fraction can be calculated as follows:
75 ÷ 100 = 0.75
So, the fraction is 75/100. However, we can simplify this fraction further by dividing both the numerator and the denominator by their greatest common divisor (GCD).
Simplifying the Fraction
The GCD of 75 and 100 is 25. Dividing both numbers by 25 gives us:
75 ÷ 25 = 3 100 ÷ 25 = 4
So, the simplified fraction is 3/4.
Expressing 75 as a Mixed Number
A mixed number is a combination of a whole number and a fraction. To express 75 as a mixed number, we can divide 75 by the denominator of the fraction (4) to get the whole number part.
75 ÷ 4 = 18 remainder 3
The whole number part is 18, and the remainder (3) is the numerator of the fraction. So, the mixed number is 18 3/4.
Using a Fraction Calculator
If you need to express 75 as a simple fraction or mixed number, you can use a fraction calculator. These calculators can simplify fractions, convert between different types of fractions, and perform arithmetic operations on fractions.
Benefits of Using a Fraction Calculator
Using a fraction calculator can save you time and effort, especially when working with complex fractions. It can also help you avoid errors and ensure accuracy in your calculations.
Conclusion and Final Thoughts
Expressing 75 as a simple fraction involves calculating the ratio of 75 to a whole number and simplifying the fraction. You can use a fraction calculator to simplify fractions and perform arithmetic operations. Whether you're a student, teacher, or professional, understanding how to work with fractions is an essential math skill.