1 Simple Way To Divide 1/4 By 3/4

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Dividing fractions can be a bit tricky, but with the right approach, it can be made easy. In this article, we'll explore a simple way to divide 1/4 by 3/4.

Understanding Fractions

Before we dive into the division, let's quickly review what fractions are. A fraction is a way to represent a part of a whole. It consists of two parts: the numerator (the top number) and the denominator (the bottom number). For example, in the fraction 1/4, the numerator is 1, and the denominator is 4.

Dividing Fractions

To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply. This may sound complicated, but trust us, it's easier than it sounds.

The Simple Way to Divide 1/4 by 3/4

So, let's get to the simple way to divide 1/4 by 3/4. Here's the step-by-step process:

Step 1: Invert the second fraction (3/4) To invert the second fraction, we simply flip the numerator and denominator. So, 3/4 becomes 4/3.

Step 2: Multiply the fractions Now that we have the inverted second fraction, we can multiply the two fractions together. To multiply fractions, we multiply the numerators (1 x 4) and multiply the denominators (4 x 3).

1/4 ÷ 3/4 = 1/4 x 4/3 = 4/12

Step 3: Simplify the result The result of the multiplication is 4/12. We can simplify this fraction by dividing both the numerator and denominator by 4.

4/12 = 1/3

The Answer

And there you have it! The simple way to divide 1/4 by 3/4 is to invert the second fraction, multiply the fractions, and simplify the result. The answer is 1/3.

Why This Method Works

So, why does this method work? It's because dividing fractions is equivalent to multiplying by the reciprocal of the divisor. In this case, the reciprocal of 3/4 is 4/3. By inverting the second fraction and multiplying, we're essentially multiplying by the reciprocal, which gives us the correct result.

Example Problems

Here are a few example problems to help you practice dividing fractions:

• 1/2 ÷ 3/4 =?
• 2/3 ÷ 1/2 =?
• 3/4 ÷ 2/3 =?

Try using the simple method we described above to solve these problems.

Conclusion

Dividing fractions may seem daunting at first, but with the right approach, it can be made easy. By inverting the second fraction and multiplying, you can divide fractions with confidence. Remember to simplify your result to get the final answer.

We hope this article has helped you understand the simple way to divide 1/4 by 3/4. If you have any questions or need further clarification, please don't hesitate to ask.

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