Converting 55/88 to a Simplified Fraction
To convert an improper fraction like 55/88 to a simplified fraction, we need to find the greatest common divisor (GCD) of 55 and 88 and then divide both numbers by the GCD.
Finding the Greatest Common Divisor (GCD)
To find the GCD of 55 and 88, we can list the factors of each number:
Factors of 55:
- 1
- 5
- 11
- 55
Factors of 88:
- 1
- 2
- 4
- 8
- 11
- 22
- 44
- 88
The greatest common divisor of 55 and 88 is 11.
Simplifying the Fraction
Now that we have found the GCD, we can divide both the numerator and the denominator by 11:
55 ÷ 11 = 5 88 ÷ 11 = 8
So, the simplified fraction form of 55/88 is:
5/8
Conclusion
In conclusion, the improper fraction 55/88 can be simplified to 5/8 by finding the greatest common divisor of the numerator and denominator and then dividing both numbers by the GCD.
