What is 1/4 Divided by 2/3?

Dividing fractions can be a bit tricky for some, but it’s actually quite straightforward once you understand the concept. In this blog post, we’ll explore how to divide the fraction 1/4 by 2/3 and break down the steps involved in the process.

What is 1/4 Divided by 2/3?

To divide 1/4 by 2/3, you first invert the second fraction to become 3/2. Then, multiply 1/4 by 3/2. The result is 3/8. So, 1/4 divided by 2/3 equals 3/8.

Understanding Fractions

Before diving into the division of fractions, let’s have a quick refresher on what fractions are. Fractions represent a part of a whole or a ratio between two numbers. They consist of two parts: the numerator (the top number) and the denominator (the bottom number). In the case of 1/4 and 2/3:

• 1 is the numerator of the first fraction (1/4).
• 4 is the denominator of the first fraction (1/4).
• 2 is the numerator of the second fraction (2/3).
• 3 is the denominator of the second fraction (2/3).

Division of Fractions

To divide one fraction by another, you need to follow these simple steps:

Step 1: Flip the second fraction, which means swapping its numerator and denominator. So, in this case, 2/3 becomes 3/2.

Step 2: Multiply the first fraction (1/4) by the flipped version of the second fraction (3/2).

Let’s break it down further:

• Multiply the numerators: 1 * 3 = 3.
• Multiply the denominators: 4 * 2 = 8.

So, 1/4 divided by 2/3 equals 3/8.

Simplifying the Result

Now that we have the result, 3/8, we can simplify it further if needed. Simplifying means finding an equivalent fraction with smaller numbers as the numerator and denominator.

In this case, 3 and 8 have no common factors other than 1, so the fraction 3/8 is already in its simplest form.

Conclusion

In conclusion, dividing fractions is a straightforward process. To divide one fraction by another, flip the second fraction and then multiply the two fractions. In the case of 1/4 divided by 2/3, the result is 3/8, which is already in its simplest form.

Understanding fractions and their operations is a fundamental math skill that can be useful in various real-life situations, from cooking and baking to construction and engineering. Practice with different fractions and operations will help you become more confident in using these mathematical concepts effectively.