2 3 divided by 3 4

less than a minute read 19-10-2024

2/3 Divided by 3/4: Understanding Fraction Division

Dividing fractions can feel tricky, but it's actually a straightforward process. Let's break down the concept of dividing 2/3 by 3/4, and explore how to get the answer.

The Basics: "Dividing by a Fraction is the Same as Multiplying by its Reciprocal"

Reciprocal: The reciprocal of a fraction is simply flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.
Why does this work? Think of division as "how many times does one number fit into another?" When we divide by a fraction, we're essentially asking, "How many times does this fraction fit into the other one?" Multiplying by the reciprocal helps us answer that question.

Let's Apply the Rule: 2/3 Divided by 3/4

Find the reciprocal of the divisor (the fraction we're dividing by): The reciprocal of 3/4 is 4/3.
Multiply the first fraction (the dividend) by the reciprocal of the second fraction: (2/3) * (4/3)
Multiply numerators and denominators: (2 * 4) / (3 * 3) = 8/9

Therefore, 2/3 divided by 3/4 equals 8/9.

Real-World Example: Sharing Pizza

Imagine you have 2/3 of a pizza, and you want to divide it equally among 3 friends. Each friend would get 1/4 of the pizza. To find out how much pizza each friend gets, you'd divide 2/3 by 3/4.

The answer, 8/9, means each friend would get 8/9 of the whole pizza.

Additional Notes and Resources

Key Concept: The idea of "multiplying by the reciprocal" is a cornerstone of fraction division. It's important to understand why this works and not just memorize the rule.
Practice Makes Perfect: The best way to master fraction division is through practice. Try working out a few more examples, and you'll soon be a pro!
Online Calculators: Online fraction calculators can be helpful for checking your answers, but it's essential to understand the underlying concepts to be able to solve problems without relying on calculators.

Attribution: The information provided above is based on commonly understood mathematical principles and practices.