How do you turn a mixed number into a fraction? Converting mixed numbers to fractions is a fundamental skill in mathematics, especially when dealing with fractions in everyday life or in more complex mathematical problems. Whether you’re a student learning the basics or someone who needs to convert mixed numbers for practical purposes, understanding this process is essential. In this article, we will explore the steps involved in converting a mixed number into a fraction and provide examples to illustrate the process.
Mixed numbers are composed of a whole number and a fraction, such as 3 1/2 or 4 3/4. To convert a mixed number into an equivalent fraction, follow these steps:
1. Multiply the whole number by the denominator of the fraction. This step ensures that the whole number is expressed as an equivalent fraction with the same denominator as the mixed number’s fraction.
2. Add the numerator of the fraction to the result from step 1. This step combines the whole number and the fraction into a single fraction.
3. Place the sum from step 2 over the original denominator of the fraction. This will give you the equivalent fraction.
Let’s look at some examples to make the process clearer:
Example 1:
Convert the mixed number 3 1/2 into a fraction.
Step 1: Multiply the whole number (3) by the denominator of the fraction (2): 3 2 = 6.
Step 2: Add the numerator of the fraction (1) to the result from step 1: 6 + 1 = 7.
Step 3: Place the sum (7) over the original denominator (2): 7/2.
The equivalent fraction for the mixed number 3 1/2 is 7/2.
Example 2:
Convert the mixed number 4 3/4 into a fraction.
Step 1: Multiply the whole number (4) by the denominator of the fraction (4): 4 4 = 16.
Step 2: Add the numerator of the fraction (3) to the result from step 1: 16 + 3 = 19.
Step 3: Place the sum (19) over the original denominator (4): 19/4.
The equivalent fraction for the mixed number 4 3/4 is 19/4.
By following these steps, you can convert any mixed number into an equivalent fraction. This skill is not only useful for solving mathematical problems but also for understanding the relationship between whole numbers and fractions. With practice, converting mixed numbers to fractions will become second nature, making it easier to work with fractions in various contexts.
