divide 7 15 by 3 5

Guri Bee

less than a minute read

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23-10-2024

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Dividing Fractions: A Step-by-Step Guide

Dividing fractions might seem daunting at first, but it's actually quite simple once you understand the concept. Let's break down how to divide 7/15 by 3/5, using a method often found in discussions on platforms like GitHub.

Understanding the Concept:

Dividing by a fraction is essentially the same as multiplying by its reciprocal. The reciprocal of a fraction is simply flipping it over.

The Steps:

1. Find the reciprocal of the second fraction: The reciprocal of 3/5 is 5/3.

2. Multiply the first fraction by the reciprocal:
   (7/15) ÷ (3/5) = (7/15) × (5/3)

3. Simplify: (7/15) × (5/3) = (7 × 5) / (15 × 3) = 35/45

4. Reduce to lowest terms (optional): Both 35 and 45 are divisible by 5, so we can simplify the fraction: 35/45 = 7/9

Therefore, 7/15 divided by 3/5 equals 7/9.

Practical Example:

Imagine you have 7/15 of a cake and want to divide it into portions that are each 3/5 of the whole cake. The result, 7/9, tells you how many of these portions you can create from your original 7/15 slice.

Key Points:

• Reciprocal: Flipping the fraction over (3/5 to 5/3).
• Multiplication: Instead of dividing, we multiply by the reciprocal.
• Simplification: Always try to simplify fractions to their lowest terms for easier understanding.

Additional Resources:

For more detailed explanations and examples, you can search for "dividing fractions" on platforms like GitHub or Khan Academy. You can also find helpful videos on YouTube explaining the concept visually.