How to Change a Mixed Number into a Decimal
Converting a mixed number into a decimal is a fundamental skill in mathematics, especially when dealing with real-world applications such as budgeting, cooking, and construction. A mixed number consists of a whole number and a fraction, and the goal is to express it as a decimal number. In this article, we will guide you through the step-by-step process of converting a mixed number into a decimal.
Firstly, let’s understand the components of a mixed number. A mixed number is composed of two parts: the whole number and the fraction. The whole number represents the integer part, while the fraction represents the fractional part. For example, in the mixed number 3 1/4, the whole number is 3, and the fraction is 1/4.
To convert a mixed number into a decimal, follow these steps:
1. Convert the fraction to a decimal: To do this, divide the numerator (the top number) by the denominator (the bottom number) of the fraction. In our example, 1 divided by 4 equals 0.25.
2. Add the whole number to the decimal: Once you have the decimal equivalent of the fraction, add it to the whole number. In our example, 3 + 0.25 equals 3.25.
3. Simplify the mixed number (if necessary): Sometimes, the mixed number might have a fraction that can be simplified. For instance, if the fraction is 2/8, you can simplify it to 1/4 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2 in this case.
Now, let’s apply these steps to another example:
Example: Convert the mixed number 7 3/8 into a decimal.
1. Convert the fraction to a decimal: 3 divided by 8 equals 0.375.
2. Add the whole number to the decimal: 7 + 0.375 equals 7.375.
In this case, the mixed number 7 3/8 is already in its simplest form, so no further simplification is needed.
In conclusion, converting a mixed number into a decimal is a straightforward process that involves dividing the fraction and adding the result to the whole number. By following these steps, you can easily convert any mixed number into its decimal equivalent, making it easier to perform calculations and comparisons in everyday life.
