6 divided by 3/4

Lyra Rowan

less than a minute read

·

29-09-2024

2

0

Share

Dividing by Fractions: Understanding 6 Divided by 3/4

Dividing by fractions can be tricky, but it's a fundamental concept in math. Let's explore this with the example of 6 divided by 3/4.

Understanding the Problem

"6 divided by 3/4" is asking: "How many groups of 3/4 are there in 6?"

The Solution: Keep, Change, Flip

A common method to solve division by fractions is the "Keep, Change, Flip" rule:

1. Keep the first number (6) the same.
2. Change the division sign to a multiplication sign.
3. Flip the second number (3/4) to its reciprocal (4/3).

This gives us: 6 x 4/3

Calculating the Answer

Now, multiply the numerators (top numbers) and the denominators (bottom numbers):

6 x 4 / 3 = 24 / 3

Finally, simplify the fraction:

24 / 3 = 8

Therefore, 6 divided by 3/4 equals 8.

Practical Example

Imagine you have 6 pizzas, and each person eats 3/4 of a pizza. How many people can eat the pizzas? You would divide 6 pizzas by 3/4 pizza per person, which we've just calculated to be 8 people.

Additional Insights

• Reciprocal: The reciprocal of a fraction is simply flipping the numerator and denominator. For example, the reciprocal of 2/5 is 5/2.
• Dividing by a fraction is the same as multiplying by its reciprocal. This is a fundamental rule that makes division by fractions easier.

Attribution:

This article draws inspiration from numerous discussions on BrainlY, including the question "How do you divide 6 by 3/4?" (https://brainly.com/question/14769657) and the explanation provided by user "KaceyH1988".

SEO Optimization:

• Keywords: Dividing fractions, keep change flip, reciprocal, dividing by 3/4, fraction division, math, problem solving.
• Structure: Clear headings, concise paragraphs, easy-to-read format.

Added Value:

This article provides a visual analogy with pizzas to make the concept relatable. It also includes additional insights and explains the reciprocal concept, making it more comprehensive than a simple answer to the initial question.