write the fraction 12 over 15 in its simplest form
The Correct Answer and Explanation is:
The fraction 12 over 15 can be simplified by finding the greatest common divisor (GCD) of the numerator (12) and the denominator (15) and dividing both by it.
Step 1: Find the GCD of 12 and 15
To find the GCD, list the factors of both numbers:
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 15: 1, 3, 5, 15
The greatest common factor is 3.
Step 2: Divide both the numerator and the denominator by 3
Now, divide both 12 and 15 by their GCD (which is 3):
- 12 ÷ 3 = 4
- 15 ÷ 3 = 5
Step 3: Write the simplified fraction
After dividing both numbers by 3, the fraction simplifies to 4/5.
Final Answer:
The simplest form of 12/15 is 4/5.
Explanation:
The process of simplifying fractions involves finding the largest number that divides both the numerator and the denominator evenly. This method ensures the fraction is expressed in its simplest form, making it easier to work with. Simplifying fractions is useful in many areas of math, such as in ratio comparisons, measurements, and while solving algebraic problems.
