2 3 divided by 2 3 in fraction

Guri Bee

2 min read

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18-10-2024

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Unlocking the Mystery: 2/3 Divided by 2/3 in Fraction Form

Have you ever encountered a division problem with fractions and felt a little lost? It can be confusing, but don't worry! Let's break down the process of dividing 2/3 by 2/3, using a combination of practical examples and clear explanations.

The Problem:

We want to find out what happens when we divide the fraction 2/3 by itself, 2/3. In mathematical terms, this is represented as:

(2/3) ÷ (2/3) = ?

The Solution:

The key to dividing fractions lies in understanding the concept of reciprocals. A reciprocal of a fraction is simply flipping the numerator and denominator.

For example, the reciprocal of 2/3 is 3/2. To divide fractions, we actually multiply the first fraction by the reciprocal of the second fraction.

So, to solve our problem:

1. Find the reciprocal of the second fraction (2/3): This is 3/2.
2. Multiply the first fraction (2/3) by the reciprocal (3/2): (2/3) * (3/2)
3. Simplify the multiplication: (2 * 3) / (3 * 2) = 6/6.
4. Reduce to the simplest form: 6/6 = 1.

Therefore, (2/3) ÷ (2/3) = 1.

Practical Applications:

This calculation might seem abstract, but it has practical applications in various areas like:

• Baking: If you're following a recipe that calls for 2/3 cup of flour and you only want to make half the recipe, you would divide 2/3 by 2.
• Construction: Dividing fractions is necessary when calculating the amount of material needed for a project, for example, when determining how many 2/3-inch pieces of wood can be cut from a larger piece.

Why It Makes Sense:

The result of dividing a number by itself is always 1. This principle also applies to fractions. Think of it this way: You have 2/3 of a pizza and you divide it into 2/3 equal slices. You will end up with one whole slice, representing the entire pizza.

Remember:

• To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
• The reciprocal of a fraction is obtained by flipping the numerator and denominator.

References:

• Understanding Division of Fractions (Khan Academy)
• Dividing Fractions (Dummies.com)

By mastering the concept of dividing fractions, you gain a powerful tool for solving problems in various real-world contexts. Don't hesitate to practice and apply this knowledge to further enhance your understanding of fractions.