Reducing a fraction to its simplest form is an essential math skill that can be achieved in just two easy steps. Here's how to simplify the fraction 72/100:
Step 1: Find the Greatest Common Divisor (GCD)
To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator (72) and the denominator (100). The GCD is the largest number that divides both numbers without leaving a remainder.
To find the GCD, we can list the factors of 72 and 100:
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
The largest number that appears in both lists is 4. Therefore, the GCD of 72 and 100 is 4.
Step 2: Divide Both Numbers by the GCD
Now that we have found the GCD (4), we can simplify the fraction by dividing both the numerator (72) and the denominator (100) by 4.
72 ÷ 4 = 18 100 ÷ 4 = 25
So, the simplified fraction is:
18/25
That's it! By following these two easy steps, we have simplified the fraction 72/100 to its simplest form, 18/25.
Why Simplifying Fractions is Important
Simplifying fractions is an essential math skill because it makes calculations easier and more efficient. Simplified fractions can be added, subtracted, multiplied, and divided more easily, and they can also be used to make more accurate calculations.
Real-World Applications
Simplifying fractions has many real-world applications, such as:
- Measuring ingredients for cooking and baking
- Calculating distances and speeds
- Determining probabilities and statistics
- Solving problems in physics, engineering, and other STEM fields
Conclusion
Simplifying fractions is a straightforward process that involves finding the greatest common divisor (GCD) of the numerator and denominator and dividing both numbers by the GCD. By following these two easy steps, you can simplify fractions and make math calculations easier and more efficient.
Practice Simplifying Fractions
Try simplifying these fractions:
- 48/60
- 24/30
- 90/120
Share Your Thoughts
Do you have any questions about simplifying fractions? Share your thoughts and ask questions in the comments below!
What is the purpose of simplifying fractions?
+Simplifying fractions makes calculations easier and more efficient. It can also be used to make more accurate calculations in various fields such as physics, engineering, and statistics.
How do I find the greatest common divisor (GCD) of two numbers?
+To find the GCD, list the factors of both numbers and find the largest number that appears in both lists.
Can I simplify fractions using a calculator?
+Yes, you can simplify fractions using a calculator. Most calculators have a built-in function to simplify fractions.