## 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:

**Keep**the first number (6) the same.**Change**the division sign to a multiplication sign.**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.