Simplifying the Fraction 8 Divided by 100
To simplify the fraction 8 divided by 100, we can express it as 8⁄100. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).
Finding the Greatest Common Divisor (GCD)
The greatest common divisor of 8 and 100 is 4, because 4 is the largest number that divides both 8 and 100 without leaving a remainder.
Simplifying the Fraction
Now, we divide both the numerator (8) and the denominator (100) by the GCD (4) to simplify the fraction:
8 ÷ 4 = 2
100 ÷ 4 = 25
So, the simplified fraction is 2⁄25.
Conclusion
Therefore, 8 divided by 100 simplified is 2⁄25. This fraction represents the simplified form of the original division problem.
Key Points
- The original fraction is 8/100.
- The greatest common divisor of 8 and 100 is 4.
- Dividing both the numerator and the denominator by 4 simplifies the fraction to 2/25.
- The simplified form of 8 divided by 100 is 2/25.
- This simplification helps in easier calculation and representation of the fraction.
FAQ Section
What is the greatest common divisor of 8 and 100?
+The greatest common divisor of 8 and 100 is 4.
How do you simplify the fraction 8⁄100?
+To simplify the fraction 8⁄100, you divide both the numerator (8) and the denominator (100) by their greatest common divisor, which is 4. This results in the simplified fraction 2⁄25.
What is the simplified form of 8 divided by 100?
+The simplified form of 8 divided by 100 is 2⁄25.
