1/3 divided by 6

less than a minute read 18-10-2024

Unlocking the Mystery of 1/3 Divided by 6

Dividing fractions can seem daunting, but with the right approach, it becomes a breeze. Let's break down the question: 1/3 divided by 6.

Understanding the Problem

Imagine you have a pizza sliced into three equal pieces, and you want to divide each slice into six smaller pieces. How many total smaller pieces will you have? This is essentially what we're solving for in 1/3 divided by 6.

The Solution: Using the "Keep, Change, Flip" Method

The "Keep, Change, Flip" method is a handy trick for dividing fractions. It involves the following steps:

Keep the first fraction (1/3) as it is.
Change the division sign to multiplication.
Flip the second fraction (6, which can be written as 6/1).

Applying this to our problem, we get:

1/3 ÷ 6 = 1/3 x 1/6

Multiplying Fractions

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

(1 x 1) / (3 x 6) = 1/18

The Answer

Therefore, 1/3 divided by 6 is equal to 1/18.

Real-World Example

Think about sharing a bag of candies with friends. You have 1/3 of the bag left and want to divide it equally among 6 friends. Each friend would get 1/18 of the bag, meaning they'd get one out of eighteen candies.

Key Takeaways

Dividing by a whole number is the same as multiplying by its reciprocal (the flipped fraction).
The "Keep, Change, Flip" method is a simple and effective way to solve division problems involving fractions.

Attribution: This explanation builds upon the fundamental concepts of fractions and division, drawing inspiration from various online resources and user contributions on platforms like GitHub.