What is the ratio 44/12 in simplest form
The Correct Answer and Explanation is :
The ratio 44/12 in its simplest form is 11/3. Here’s how we simplify it:
Simplifying the Ratio:
- Find the Greatest Common Divisor (GCD):
First, we find the greatest common divisor (GCD) of 44 and 12. The GCD is the largest number that divides both numbers without leaving a remainder.
- Factors of 44: 1, 2, 4, 11, 22, 44
- Factors of 12: 1, 2, 3, 4, 6, 12 The largest common factor is 4.
- Divide both terms by the GCD:
Now that we know the GCD is 4, we divide both the numerator (44) and the denominator (12) by 4.
- 44 ÷ 4 = 11
- 12 ÷ 4 = 3
Thus, the simplified form of the ratio 44:12 is 11:3.
Explanation:
Ratios are used to compare two or more quantities. Simplifying a ratio means expressing it in its most reduced form, where the numbers involved cannot be divided by any common factor other than 1. This process makes the ratio easier to understand and work with.
In this case, the original ratio was 44:12, which means for every 44 units of one quantity, there are 12 units of another. However, after simplifying to 11:3, we understand that for every 11 units of the first quantity, there are 3 units of the second. This simplified ratio gives us the same relationship but in smaller, more manageable numbers.
Simplifying ratios is useful in everyday situations, such as in recipes, mixing ingredients, or understanding proportions in different contexts. It helps make comparisons clearer and calculations simpler.