>Hello Sohib EditorOnline, today we will be discussing about “cara pembagian pecahan campuran”. This topic is important for those who are studying mathematics whether in high school or in college. By the end of this article, you will be able to understand the concept and method of dividing mixed fractions. Let’s dive in!
To understand how to divide mixed fractions, we must first understand what mixed fractions are. Mixed fractions are a combination of a whole number and a proper fraction. For example, 3 1/2 is a mixed fraction because it has a whole number (3) and a proper fraction (1/2).
In order to divide mixed fractions, we first need to convert them into improper fractions. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Converting Mixed Fractions to Improper Fractions
To convert a mixed fraction to an improper fraction, we follow these steps:
Step
Example
1. Multiply the whole number by the denominator
3 x 2 = 6
2. Add the numerator to the result of step 1
6 + 1 = 7
3. Write the sum of step 2 over the original denominator
7/2
Let’s take an example to better understand the process. If we want to convert the mixed fraction 4 3/5 into an improper fraction, we will follow these steps:
Step
Example
1. Multiply the whole number by the denominator
4 x 5 = 20
2. Add the numerator to the result of step 1
20 + 3 = 23
3. Write the sum of step 2 over the original denominator
23/5
After converting the mixed fraction to an improper fraction, we can now proceed to dividing them.
Dividing Mixed Fractions
When dividing mixed fractions, we follow these steps:
Step
Example
1. Convert the mixed fractions to improper fractions
3 1/2 = 7/2, 5 3/4 = 23/4
2. Invert the divisor (the second fraction)
23/4 becomes 4/23
3. Multiply the two fractions
7/2 x 4/23 = 28/46
4. Simplify the result (if possible)
28/46 can be simplified to 14/23
Let’s take an example to better understand the process. If we want to divide 3 1/2 by 5 3/4, we will follow these steps:
Step
Example
1. Convert the mixed fractions to improper fractions
What is the difference between a proper fraction and an improper fraction?
A proper fraction is a fraction where the numerator is less than the denominator, while an improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Do I always need to simplify the result?
No, you don’t always need to simplify the result. However, it is usually preferred to simplify the result if possible to make it easier to understand and work with.
Can I use this method to divide fractions other than mixed fractions?
Yes, you can use this method to divide any type of fractions, whether they are mixed fractions or not. However, you will need to convert them to improper fractions first.
What is the importance of converting mixed fractions to improper fractions?
Converting mixed fractions to improper fractions makes it easier to perform mathematical operations such as addition, subtraction, multiplication, and division.
Is there an easier way to divide mixed fractions?
There is no easier way to divide mixed fractions. However, with practice, you can become more comfortable with the process and it will become easier over time.
Cara Pembagian Pecahan Campuran
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