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Understanding the Basics of Adding Fractions: Exploring the Example of 3/4 + 3/4

Jimmy Kane by Jimmy Kane
November 5, 2023
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3/4 + 3/4
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3/4 + 3/4

As a seasoned math enthusiast, I’ve come to appreciate the simplicity and beauty of fractions. You might be wondering, “Why should I care about something as basic as adding 3/4 and 3/4 together?” Trust me, there’s more to it than meets the eye.

In this article, we’ll unravel the mystery behind adding fractions. We’ll be focusing on a straightforward example, namely 3/4 + 3/4. It’s a simple math problem, yet it’s fundamental in understanding the core concepts of fractions.

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What is 3/4 + 3/4?

Adding fractions can seem intimidating, but once you understand the basics, it’s as simple as pie! My job today is to take you through the nuances of adding two seemingly simple fractions – 3/4 and 3/4.

Understanding Fractions

Look, it’s crucial to comprehend what a fraction is. It’s no secret, fractions represent parts of a whole. Let’s take 3/4 for instance; here, the total number of parts (the denominator) is 4, and we have 3 of those parts (the numerator).

But what does this mean, practically? Well, let’s imagine a juicy, freshly baked apple pie. If the whole pie represents “1,” then 3/4 would be three slices of a pie that has been cut into four equal parts.

In the context of our example, 3/4 + 3/4, imagine having two pies. You’ve eaten three slices from the first pie and three slices from the second one. That’s essentially what it’s like when you add 3/4 and 3/4.

Adding Fractions with Like Denominators

You’re probably wondering, “how can I add fractions together?” Brilliant question! When adding fractions with the same denominator, it’s way simpler than it may seem.

Here’s the magic formula – you keep the denominator the same and add the numerators.

So let’s use our example of 3/4 + 3/4. Our denominator stays the same, 4, as the total number of parts remains unchanged. However, our numerators, 3 and 3, get added together.

This results in 6/4. Interestingly, our answer is greater than ‘1’, which makes sense if you think about it. By adding 3/4 and 3/4, we’re essentially combining more than one whole pie – six out of those four slices, to be precise.

Steps to add 3/4 + 3/4

So, we’ve delved into the seemingly simple process of adding 3/4 to 3/4. This basic arithmetic task has proven to be a fundamental step in understanding fractions. We’ve seen how fractions, like slices of a pie, represent parts of a whole. We’ve also learned that when adding fractions with the same denominator, we keep the denominator constant and add the numerators. This gives us 6/4 when we add 3/4 and 3/4. Remember, 6/4 is more than 1, indicating that we’ve got more than one whole pie. I hope you’ve found this exploration of fractions enlightening and that you’ll carry these concepts with you in your future mathematical endeavors.

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