Fraction Basics

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Alright, let’s talk fractions! You know, those ***** little things that make math class feel like a game of Russian Roulette. Chill out, don’t worry, because we’re going to break them down into simple terms so you can understand them without wanting to throw your calculator out the window.

First off, let’s define what a fraction is: it’s basically just a way to represent division that doesn’t involve dividing by zero (which would be pretty ***** impossible). So instead of saying “2 divided by 4,” we write it as “1/2.” Easy peasy.

Now, how fractions work. The top number is called the numerator and represents the amount you want to divide. The bottom number is called the denominator and represents what you’re dividing into (or by). For example: 3/5 means “divide 3 by 5.”

Fractions can also be simplified or reduced. This involves finding the greatest common divisor of both the numerator and denominator, which is essentially the largest number that divides evenly into both. For example: if we have 12/18, we can reduce it to 2/3 by dividing both the top and bottom numbers by their GCD (which in this case would be 6).

So why do we care about reducing fractions? Well, for one thing, it makes them easier to work with. For another, it’s just plain satisfying to see a fraction that looks nice and neat. Plus, if you ever have to multiply or divide by a fraction (which is pretty common in math), having the smallest possible denominator can save you some serious headaches.

Now, how fractions are represented on computers using Python.In Python, we use the Fraction class from the “fractions” module to create and manipulate fractions. This is handy because it allows us to perform operations like addition, subtraction, multiplication, and division without having to worry about rounding errors or other ***** issues that can arise when working with floating-point numbers.

They’re not as scary as they might seem at first glance, and once you get the hang of them, they can be pretty useful in all sorts of math applications (not to mention cooking or baking). So next time you see a fraction, don’t panic just remember that it’s really just a fancy way to represent division.

If we want to create fractions using Python’s Fraction class, we can do so by passing in the numerator and denominator as arguments when creating an instance of the Fraction class. For example: `fraction = Fraction(3, 5)` creates a new fraction with value “3/5”.

We can also create fractions using other methods, such as converting floating-point numbers or strings to fractions. This is handy when working with data that might not be in the form of a traditional fraction. For example: `fraction = Fraction(0.6)` creates a new fraction with value “3/5” (which is equivalent to 0.6).

A basic overview of fractions and how they’re represented on computers using Python’s Fraction class.

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