what is 2/3 divided by 2

Natashya

2 min read

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23-12-2024

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Introduction:

Dividing fractions can seem tricky, but with a clear understanding of the process, it becomes straightforward. This article will guide you through calculating 2/3 divided by 2, explaining each step in detail. We'll also explore the underlying principles of fraction division, ensuring you can tackle similar problems confidently. Understanding how to divide fractions like 2/3 by 2 is a fundamental skill in mathematics.

Understanding Fraction Division

Before we dive into the specific problem, let's quickly review the basics of dividing fractions. When dividing by a fraction, you essentially flip (find the reciprocal of) the second fraction and then multiply. However, in this case, we're dividing by a whole number (2), which can be expressed as a fraction (2/1).

Calculating 2/3 Divided by 2: A Step-by-Step Approach

Here's how to solve 2/3 ÷ 2:

Step 1: Rewrite the whole number as a fraction.

Any whole number can be written as a fraction by placing it over 1. So, we rewrite 2 as 2/1. Our problem now looks like this: (2/3) ÷ (2/1).

Step 2: Invert the second fraction (find the reciprocal).

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 2/1 is 1/2. Our problem now becomes: (2/3) x (1/2).

Step 3: Multiply the numerators (top numbers) and the denominators (bottom numbers).

Multiply the numerators together: 2 x 1 = 2 Multiply the denominators together: 3 x 2 = 6

This gives us the fraction 2/6.

Step 4: Simplify the fraction (if possible).

The fraction 2/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2.

2 ÷ 2 = 1 6 ÷ 2 = 3

Therefore, the simplified fraction is 1/3.

The Final Answer

Therefore, 2/3 divided by 2 is equal to 1/3.

Visualizing the Problem

Imagine you have a pizza cut into three slices. You have two of those slices (2/3 of the pizza). If you want to divide those two slices equally between two people, each person gets one of the three original slices (1/3).

Practice Problems

Try these similar problems to solidify your understanding:

• 3/4 divided by 3
• 5/6 divided by 5
• 1/2 divided by 4

By understanding the steps involved in dividing fractions, you can confidently tackle similar problems in the future. Remember the key steps: rewrite whole numbers as fractions, find the reciprocal of the divisor, multiply the fractions, and simplify the result.