How do you convert a mixed number into a fraction? Converting mixed numbers into fractions is a fundamental skill in mathematics, especially when dealing with complex calculations. A mixed number consists of a whole number and a fraction, and converting it into a single fraction can simplify many mathematical operations. In this article, we will explore the step-by-step process of converting mixed numbers into fractions, and provide some practical examples to help you master this concept.
In order to convert a mixed number into a fraction, you need to follow these three simple steps:
1. Multiply the whole number by the denominator of the fractional part.
2. Add the numerator of the fractional part to the result obtained in step 1.
3. Write the sum from step 2 as the numerator of the new fraction, and keep the original denominator.
Let’s take a look at some examples to illustrate this process:
Example 1:
Convert the mixed number 3 1/4 into a fraction.
Step 1: Multiply the whole number (3) by the denominator of the fractional part (4): 3 x 4 = 12.
Step 2: Add the numerator of the fractional part (1) to the result from step 1: 12 + 1 = 13.
Step 3: Write the sum (13) as the numerator of the new fraction, and keep the original denominator (4): 13/4.
So, the mixed number 3 1/4 is equivalent to the fraction 13/4.
Example 2:
Convert the mixed number 2 3/5 into a fraction.
Step 1: Multiply the whole number (2) by the denominator of the fractional part (5): 2 x 5 = 10.
Step 2: Add the numerator of the fractional part (3) to the result from step 1: 10 + 3 = 13.
Step 3: Write the sum (13) as the numerator of the new fraction, and keep the original denominator (5): 13/5.
Therefore, the mixed number 2 3/5 is equivalent to the fraction 13/5.
By following these steps, you can easily convert any mixed number into a fraction. This skill is not only useful for simplifying calculations but also for understanding the relationship between whole numbers and fractions. As you practice more, you will become more proficient in converting mixed numbers into fractions, making your mathematical journey more enjoyable and less challenging.
