6 divided by 4/5

Guri Bee

less than a minute read

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20-10-2024

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Dividing by Fractions: A Step-by-Step Guide with 6 ÷ 4/5

Dividing by fractions can seem tricky, but it's actually quite simple once you understand the concept. Let's break down how to solve 6 ÷ 4/5.

Understanding the Problem:

The problem asks us to divide 6 by the fraction 4/5. In other words, we want to find out how many groups of 4/5 are contained within 6.

Key Concept: Flipping the Fraction

The trick to dividing by a fraction is to multiply by the reciprocal of the second fraction. A reciprocal is simply a fraction flipped upside down.

• The reciprocal of 4/5 is 5/4.

Solving the Problem:

1. Rewrite the division problem as a multiplication problem: 6 ÷ 4/5 = 6 x 5/4

2. Multiply the numerators (top numbers): 6 x 5 = 30

3. Multiply the denominators (bottom numbers): 1 x 4 = 4

4. Simplify the resulting fraction: 30/4 = 7 1/2

Therefore, 6 divided by 4/5 is equal to 7 1/2.

Real-World Application

Let's imagine you have 6 pizzas, and each person can eat 4/5 of a pizza. How many people can eat from the pizzas?

• We use the same principle: 6 pizzas ÷ 4/5 pizza per person = 7 1/2 people.

Additional Notes:

• Remember, when dividing by a fraction, we are essentially multiplying by its reciprocal.
• This method works for any division problem involving fractions.

Source:

This article was inspired by a discussion on the GitHub community, where users shared their approaches to solving division problems with fractions.

I hope this explanation helps you better understand how to divide by fractions!