Introduction
Fractions are a part of our daily lives, and it is essential to know how to divide them. Division of fractions may seem daunting, but it is quite easy once you understand the concept. In this article, we will explain how to divide fractions in a simple and relaxed language that everyone can understand.
Understanding Division Of Fractions
Before we dive in, let us first understand the concept of division of fractions. To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by switching the numerator and the denominator of the fraction.For instance, if you want to divide 2/3 by 4/5, you need to multiply the first fraction by the reciprocal of the second fraction, which is 5/4. Therefore, 2/3 divided by 4/5 is the same as 2/3 multiplied by 5/4.
Steps To Divide Fractions
Now that we understand the concept of division of fractions let us look at the steps involved in dividing fractions.1. First, write down the two fractions that you want to divide.2. Next, flip the second fraction, i.e., switch the numerator and the denominator of the fraction.3. Multiply the first fraction by the reciprocal of the second fraction.4. Simplify the resulting fraction, if possible.
Example
Let us use an example to illustrate the concept of dividing fractions.Suppose you want to divide 2/3 by 4/5. Step 1: Write the two fractions down: 2/3 and 4/5.Step 2: Flip the second fraction: 4/5 becomes 5/4.Step 3: Multiply the first fraction by the reciprocal of the second fraction: 2/3 x 5/4.Step 4: Simplify the fraction if possible. In this case, we can simplify 5/3 to get 1 2/3.Therefore, 2/3 divided by 4/5 is 1 2/3.
Tips
Here are some useful tips to keep in mind when dividing fractions:- Always flip the second fraction before multiplying.- Simplify the fraction if possible.- If the resulting fraction is an improper fraction, convert it to a mixed number.
Conclusion
Dividing fractions may seem challenging, but it is quite easy once you understand the concept. Remember to flip the second fraction, multiply, and simplify the resulting fraction. With these simple steps, you can effortlessly divide fractions and handle any fraction-related problems that come your way.
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