Simplifying 3/4: A Step-by-Step Guide
What is 3/4?
The fraction 3/4 represents three equal parts out of a total of four equal parts. In other words, it is a way of expressing a quantity that is three quarters of a whole.
Simplifying 3/4
To simplify a fraction, we need to find the largest number that divides both the numerator (top number) and the denominator (bottom number) without leaving a remainder. This is called the greatest common divisor (GCD).
In the case of 3/4, the GCD of 3 and 4 is 1. This means that 3/4 is already in its simplest form.
Why is 3/4 already simplified?
The numerator 3 and the denominator 4 have no common factors other than 1. Therefore, we cannot simplify 3/4 further by dividing both numbers by a common factor.
Example: Equivalent Ratios
Just to illustrate, let's look at an example of equivalent ratios. Suppose we have a recipe that requires 3 cups of flour and 4 cups of sugar. We can simplify this ratio by dividing both numbers by their GCD, which is 1.
Ratio: 3:4 Simplified Ratio: 3:4 (already simplified)
As you can see, the simplified ratio is the same as the original ratio, which means that 3/4 is already in its simplest form.
Conclusion
In conclusion, 3/4 is already a simplified fraction because it has no common factors other than 1. We don't need to simplify it further, and it can be used as is in mathematical operations or real-world applications.
