The question asking “3 is 12 of what number?” is a simple mathematical problem that can be solved using basic arithmetic. To find the answer, you must understand the concept of fractions and how to use them to solve problems. A fraction is a number that represents a part of a whole, made up of two parts: the numerator and the denominator. The numerator tells you how many parts of the whole you have, and the denominator tells you the total number of parts in the whole.
In the case of the question “3 is 12 of what number?” the numerator is 3, and the denominator is 12, making the fraction equal to 3/12. To find the whole number to which this fraction represents, you must divide the numerator by the denominator. So, 3 divided by 12 equals 0.25. This means that 3/12 is the same as 0.25 when expressed as a decimal.
There are many applications of fractions in everyday life, including cooking, building projects, and even planning out schedules. Knowing how to work with fractions is therefore an important skill to have. In this article, we will go over the steps you need to follow to solve similar problems and introduce you to some useful math concepts.
Solving for the Unknown Number
The process for solving for the unknown number when you are given a fraction like 3/12 is to first convert the fraction to a decimal if necessary, and then divide the numerator by the denominator. For example, if you are given the fraction 2/5, you would first convert it to a decimal by dividing 2 by 5, which gives you 0.4. You would then divide 4 by 5 to find the answer, which is 0.8. Therefore, 2/5 is equal to 0.8.
Another way to solve this problem is to multiply both the numerator and denominator by the same factor. This will often lead to a better visual representation of the problem and make it easier to solve. For instance, if you are given the fraction 3/12, you could multiply both the numerator and denominator by 100 to get the fraction 300/1200. You would then simplify this fraction by dividing both numbers by their greatest common factor, which is 12, resulting in the final answer of 25. This means that 3/12 is the same as 25/1200 when expressed as a mixed number.
Practice Problems
To better illustrate how to solve problems with fractions, let’s look at some practice problems:
- If 2/5 is equal to 0.4, what is 5/8?
- If 3/12 is equal to 0.25, what is 4/8?
- If 1/4 is equal to 0.2, what is 3/8?
Solutions
Here are the solutions to the practice problems:
- To find out what 5/8 is equal to, you would convert it to a decimal by dividing 5 by 8, which gives you 0.625. Therefore, 5/8 is equal to 0.625.
- To find out what 4/8 is equal to, you would convert it to a decimal by dividing 4 by 8, which gives you 0.5. Therefore, 4/8 is equal to 0.5.
- To find out what 3/8 is equal to, you would convert it to a decimal by dividing 3 by 8, which gives you 0.375. Therefore, 3/8 is equal to 0.375., solving for the unknown number when you are given a fraction like 3/12 is a simple process that involves converting the fraction to a decimal, dividing the numerator by the denominator, or multiplying both the numerator and denominator by the same factor. By mastering this skill, you will be able to confidently solve a wide range of problems involving fractions.
