6/7 divided by 2

less than a minute read 20-10-2024

6/7 Divided by 2: A Step-by-Step Guide

Dividing fractions can feel tricky, but with the right approach, it becomes a breeze! Let's break down how to solve 6/7 divided by 2, using a clear explanation and helpful examples.

Understanding the Concept

Dividing by a whole number is the same as multiplying by its reciprocal. The reciprocal of a number is simply 1 divided by that number.

In this case, the reciprocal of 2 is 1/2.

Therefore, the problem 6/7 divided by 2 can be rewritten as:

6/7 * 1/2

Multiplying Fractions

To multiply fractions, we multiply the numerators (top numbers) and the denominators (bottom numbers):

(6 * 1) / (7 * 2)

This simplifies to:

6/14

Simplifying the Fraction

Finally, we can simplify the fraction by dividing both numerator and denominator by their greatest common factor, which is 2:

(6/2) / (14/2) = 3/7

Answer:

Therefore, 6/7 divided by 2 is 3/7.

Real-World Example:

Imagine you have a cake sliced into 7 pieces, and you want to share 6 of those slices with two friends. How much cake does each friend get?

6/7 represents the total amount of cake you're sharing.
2 represents the number of friends.
3/7 represents the portion of the cake each friend receives.

Additional Tips:

Remember the reciprocal: Dividing by a number is the same as multiplying by its reciprocal.
Simplify fractions: Always simplify your answer to its simplest form.
Visualize the problem: Use real-world examples to help understand the concept.

By following these steps and understanding the underlying principles, you can confidently solve any fraction division problem!