What is the answer to 24/56 simplified
The Correct Answer and Explanation is:
The simplified form of 24/56 is 3/7.
Explanation:
To simplify a fraction, we need to divide both the numerator (top number) and the denominator (bottom number) by their greatest common factor (GCF). The GCF is the largest number that divides evenly into both numbers.
Step 1: Find the GCF of 24 and 56.
We start by listing the factors of each number:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
The common factors are: 1, 2, 4, 8
The greatest of these is 8, so the GCF of 24 and 56 is 8.
Step 2: Divide both numbers by the GCF.
- 24 ÷ 8 = 3
- 56 ÷ 8 = 7
So, 24/56 = 3/7
This means 24 parts out of 56 is equal in value to 3 parts out of 7. The numbers are different, but the ratio between the numerator and the denominator remains the same.
Why is simplification useful?
Simplifying fractions helps make them easier to understand, compare, and use in calculations. For example, if you are working with a recipe or solving a math problem, it is easier to use 3/7 than 24/56. Also, a simplified fraction is considered the most reduced or lowest form, which is often expected in final answers on tests and in assignments.
In summary, to simplify any fraction, always look for the greatest number that divides evenly into both the numerator and the denominator. Divide both terms by that number, and you will have your simplified fraction.
