5/8 divided by 6

Guri Bee

less than a minute read

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18-10-2024

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Unlocking Division: 5/8 Divided by 6

Dividing fractions can be a tricky concept, but with the right approach, it can be demystified. Let's explore how to tackle the problem of 5/8 divided by 6.

Understanding the Question

The question asks us to figure out how many times the value of 6 fits into the value of 5/8. In simpler terms, we're trying to find the "pieces" of 6 that are contained within 5/8.

The Solution

The key to dividing fractions is to remember that dividing by a number is the same as multiplying by its reciprocal. The reciprocal of 6 is 1/6. Therefore:

5/8 ÷ 6 = 5/8 x 1/6

Now, we simply multiply the numerators and the denominators:

(5 x 1) / (8 x 6) = 5/48

Therefore, 5/8 divided by 6 is equal to 5/48.

Visualizing the Result

Imagine you have a pie cut into 8 slices. You have 5 of those slices (5/8). Now imagine you want to divide those 5 slices into groups of 6. You wouldn't be able to form complete groups of 6, but you would get smaller portions. The fraction 5/48 represents the size of each of those smaller portions.

Key Takeaways

• Dividing by a number is the same as multiplying by its reciprocal.
• Finding the reciprocal of a number means flipping the numerator and denominator.
• Understanding the concept of division by fractions can be helpful in various applications, including measuring, cooking, and working with data.

Additional Resources

For more practice on dividing fractions, explore these resources:

• Khan Academy: Dividing Fractions
• PurpleMath: Dividing Fractions

By using these methods and resources, you can confidently tackle any division problem involving fractions.