Converting 625 as a Fraction: A Step-by-Step Guide
In this article, we will explore how to convert the number 625 into a fraction. This process involves understanding the concept of equivalent ratios and finding the simplest form of the fraction.
Step 1: Understand the Concept of Equivalent Ratios
An equivalent ratio is a fraction that has the same value as another fraction, but with different numbers. For example, 1/2 is equivalent to 2/4 or 3/6, as they all represent the same proportion.
Step 2: Write 625 as a Fraction
To write 625 as a fraction, we can start by putting it over 1, like this:
625/1
This is because 625 is equal to 625 divided by 1.
Step 3: Simplify the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 625 and 1. The GCD is the largest number that divides both numbers exactly without leaving a remainder.
The GCD of 625 and 1 is 1, since 1 is the only number that divides both numbers exactly.
Step 4: Write the Simplified Fraction
Since the GCD is 1, the simplified fraction remains the same:
625/1
This is the simplest form of the fraction.
Alternative Method: Divide by the Greatest Common Divisor
Another way to simplify the fraction is to divide both the numerator and the denominator by their GCD. In this case, we can divide 625 and 1 by 1:
625 ÷ 1 = 625 1 ÷ 1 = 1
The result is the same:
625/1
Conclusion
In conclusion, the number 625 can be written as a fraction in its simplest form as:
625/1
This process involves understanding equivalent ratios, writing the number as a fraction, and simplifying it by finding the greatest common divisor.
Worksheet Exercises
Try converting the following numbers into fractions:
- 250
- 375
- 900
Remember to follow the steps outlined above to simplify each fraction.
Answers
- 250: 250/1
- 375: 375/1
- 900: 900/1
Note: The answers are provided for your reference only. Make sure to work through each problem step-by-step to reinforce your understanding of the concept.
