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>Hello Sohib EditorOnline, in this article we will discuss the process of dividing ordinary fractions. This is an important skill for anyone who wants to succeed in mathematics, so it’s essential to have a good understanding of the concept. In this article, we’ll break down the process of dividing ordinary fractions into easy-to-understand steps. Let’s get started!

Understanding Fractions

Before we dive into the process of dividing fractions, it’s essential to have a clear understanding of what ordinary fractions are. Fractions are mathematical expressions that represent a part of a whole. They are expressed as a ratio of two numbers, the numerator and the denominator. The numerator represents the number of equal parts being considered, while the denominator represents the total number of equal parts that make up the whole.

For example, the fraction 2/3 represents two equal parts out of a total of three equal parts. Another way to think of this fraction is that it represents a number that is halfway between 0 and 1.

It’s important to note that fractions can be expressed in different forms. For example, the fraction 2/3 is equivalent to the fraction 4/6, which means they represent the same value.

The Process of Dividing Fractions

The process of dividing ordinary fractions involves four simple steps:

1. Convert the division sign to multiplication
2. Flip the second fraction
3. Multiply the numerators
4. Multiply the denominators

Let’s take a closer look at each of these steps.

Step 1: Convert the Division Sign to Multiplication

The first step in dividing fractions is to convert the division sign to multiplication. This is done by simply replacing the division sign with a multiplication sign.

For example, to divide the fraction 2/3 by the fraction 4/5, we would write:

2/3 ÷ 4/5 = 2/3 x 5/4

Step 2: Flip the Second Fraction

The second step in dividing fractions is to flip the second fraction. This means that we swap the numerator and denominator of the second fraction.

For example, to divide the fraction 2/3 by the fraction 4/5, we would flip the fraction 4/5 to get:

2/3 x 5/4

Step 3: Multiply the Numerators

The third step in dividing fractions is to multiply the numerators. This means that we multiply the two numerators together.

For example, to divide the fraction 2/3 by the fraction 4/5, we would multiply the numerators 2 and 5 to get:

2 x 5 = 10

Step 4: Multiply the Denominators

The fourth and final step in dividing fractions is to multiply the denominators. This means that we multiply the two denominators together.

For example, to divide the fraction 2/3 by the fraction 4/5, we would multiply the denominators 3 and 4 to get:

3 x 4 = 12

Putting It All Together

Now that we’ve gone through the four steps of dividing fractions, let’s put it all together and solve an example problem.

Example:

Divide the fraction 2/3 by the fraction 4/5.

Step 1: Convert the division sign to multiplication

2/3 ÷ 4/5 = 2/3 x 5/4

Step 2: Flip the second fraction

2/3 x 5/4

Step 3: Multiply the numerators

2 x 5 = 10

Step 4: Multiply the denominators

3 x 4 = 12

Final Answer: 10/12, which reduces to 5/6.

FAQ

What happens if the two fractions are not in simplified form?

If the two fractions are not in simplified form, you should simplify them before following the four steps of dividing fractions. This will make the calculation easier and the final answer will be in the simplest form.

What happens if the second fraction is a whole number?

If the second fraction is a whole number, you can write it as a fraction with a denominator of 1. For example, if the second fraction is 3, you can write it as 3/1.

What happens if the denominator of the second fraction is zero?

If the denominator of the second fraction is zero, the fraction is undefined, and you cannot divide by it.

What happens if the numerator of the second fraction is zero?

If the numerator of the second fraction is zero, the final answer is always zero, regardless of the value of the first fraction.

Conclusion

Dividing ordinary fractions may seem daunting at first, but it’s a skill that can be mastered with practice. Remember to follow the four simple steps: convert the division sign to multiplication, flip the second fraction, multiply the numerators, and multiply the denominators. Simplify the final answer if possible, and you’re done!

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