5/14 divided by 7/8

Guri Bee

less than a minute read

·

17-10-2024

1

0

Share

Dividing Fractions: A Step-by-Step Guide with 5/14 ÷ 7/8

Dividing fractions can seem intimidating, but with a simple trick, it becomes a breeze! Let's explore the process with the example of 5/14 divided by 7/8.

Understanding the Concept

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Applying the Trick

1. Find the reciprocal of the second fraction: The reciprocal of 7/8 is 8/7.

2. Multiply the first fraction by the reciprocal: (5/14) ÷ (7/8) becomes (5/14) × (8/7)

3. Simplify by multiplying numerators and denominators: (5 × 8) / (14 × 7) = 40/98

4. Reduce to the simplest form: Both 40 and 98 are divisible by 2, so we can simplify to 20/49.

Therefore, 5/14 divided by 7/8 is equal to 20/49.

Practical Example

Imagine you have 5/14 of a pizza, and you want to divide it into 7/8 slices. How many slices will you get? Using our knowledge of dividing fractions, we can find the answer:

• 5/14 ÷ 7/8 = 20/49

This means you can get 20/49 slices of pizza.

Key Takeaways:

• Dividing by a fraction is the same as multiplying by its reciprocal.
• Always simplify your answer to its lowest terms.
• Understanding the concept of reciprocals is crucial for solving fraction division problems.

Additional Notes:

• Source: This article is inspired by the discussions on dividing fractions in various GitHub repositories, including [insert specific repositories with links if applicable].
• Visual Representation: You can use visual aids like pizza slices or chocolate bars to demonstrate the concept of fraction division to students.
• Real-World Applications: Dividing fractions is a common practice in baking, sewing, and construction, where precise measurements are essential.

By following this simple method, you can confidently divide fractions and apply this knowledge to various practical situations.