60/88 as a Fraction in Simplest Form
What is 60/88 as a Fraction?
The fraction 60/88 is a way to represent a part of a whole. In this case, the whole is divided into 88 equal parts, and we are interested in 60 of those parts.
Simplifying the Fraction 60/88
To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator (60) and the denominator (88). The GCD is the largest number that divides both 60 and 88 without leaving a remainder.
Calculating the GCD of 60 and 88
To calculate the GCD, we can use the following steps:
Step 1: List the factors of 60
- 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Step 2: List the factors of 88
- 1, 2, 4, 8, 11, 22, 44, 88
Step 3: Identify the common factors
- 1, 2, 4
The largest common factor is 4. Therefore, the GCD of 60 and 88 is 4.
Simplifying the Fraction 60/88
Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by 4:
60 ÷ 4 = 15 88 ÷ 4 = 22
So, the simplified fraction is:
15/22
Conclusion
The simplified form of the fraction 60/88 is 15/22. This is the simplest form of the fraction, and it represents the same part of a whole as the original fraction 60/88.
