Solve 1/2 Divided By 2/3 In Simple Steps

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When dealing with fractions, it's essential to understand the rules of division to arrive at the correct solution. In this case, we're tasked with solving 1/2 divided by 2/3. To simplify this problem, we'll follow a step-by-step approach that will make the solution clear and easy to understand.

Understanding the Problem

Before we begin, it's crucial to recognize that dividing by a fraction is equivalent to multiplying by its reciprocal. This rule will be the foundation of our solution.

The Rule of Dividing Fractions

When dividing one fraction by another, we can invert the second fraction (i.e., flip the numerator and denominator) and then multiply the two fractions. Mathematically, this can be expressed as:

a/b ÷ c/d = a/b × d/c

Now that we have the rule, let's apply it to our problem.

Applying the Rule to Our Problem

Using the rule mentioned earlier, we can rewrite 1/2 divided by 2/3 as:

1/2 × 3/2

Now, we can proceed with the multiplication.

Multiplying the Fractions

When multiplying fractions, we simply multiply the numerators and denominators separately:

(1 × 3) / (2 × 2) = 3/4

And there you have it! The result of 1/2 divided by 2/3 is 3/4.

Real-World Applications of Fraction Operations

Fractions and their operations have numerous real-world applications, including:

• Measuring ingredients for cooking and baking
• Calculating distances and speeds
• Understanding probability and statistics
• Balancing budgets and finances

In conclusion, dividing fractions is a straightforward process that involves inverting the second fraction and then multiplying. By applying this rule, we can easily solve problems like 1/2 divided by 2/3, which yields a result of 3/4.

Now, we'd love to hear from you! Do you have any questions or examples you'd like to share about fraction operations? Feel free to comment below and let's continue the conversation!