Fun with Fractions: Adding and Subtracting Like a Pro

June 6, 2023 Off By Zak Morris

Math has never been so much fun! Fractions can seem intimidating at first, but with a bit of practice and patience, even a novice can be on their way to calculating like a pro. With the right tools, adding and subtracting with fractions can be a breeze. Get ready to dive in and learn all the tricks of the trade with our guide on fun with fractions.

1. Understanding Fractions: A Quick Guide

Fractions can be an intimidating topic for many students. However, understanding the basic tenants of fractions can be helpful in future learning and teaching. Here’s a quick guide on how to approach this mathematical concept:

  • Recognize Fractions: Identify fractions in everyday life by understanding the concept of a number being shared. If there are four pieces of cake shared between two people, there are two pieces per person, or two fourths.
  • Format: Understand the way fractions are formatted so that you can understand what a fraction is telling you. A fraction is written in the format of “x/y”, where the “x” represents the number of pieces and “y” is the number of total pieces.

Once you understand the basic concept of fractions, it’s time to start understanding concepts such as equivalency. Dividing is often an important part of fraction work, and understanding division in a fractional context will help you to work out the numerical value of fractions. For example, two-thirds of a pizza can be expressed as “2/3” to represent that the pizza is split into three equal pieces and two of them are eaten.

2. Adding Fractions: Taking it Step-by-Step

Having trouble adding fractions? Follow this step-by-step guide and before you know it fractions will be a breeze!

Step 1: Make the Denominators the Same
The denominator is the bottom number of a fraction and it tells you how many parts the whole is divided into. To be able to add fractions, make sure to make the denominators (bottom numbers) the same. This may require you to use a few multiplication tricks. Multiply the top and bottom numbers of both fractions you are adding by the same number to make them the same. For example, if we are adding 1/2 and 1/3 we would have to do the following:

  • 1/2 x3/3 = 3/6
  • 1/3 x2/2 = 2/6

Step 2: Add the Numerators
The numerator is the top of the fraction and tells you how many parts of the whole you have. Now that both fractions have the same denominator, you can add the numerators together.

  • 3/6 + 2/6 = 5/6

And there you have it, the sum is 5/6! It’s that easy!

3. Subtracting Fractions: Going the Extra Mile

Now that you have the basics covered, it’s time to take your fraction subtraction to the next level. Subtracting fractions with different denominators requires a few extra steps. It’s important to understand these steps, so you can approach this type of problem with confidence.

  • Multiply both fractions by a number, such that their denominators become equal
  • Subtract the numerators to find the difference
  • Simplify the reduced fraction, if possible

Applying these steps takes time, but it will bolster your understanding of how fractions work. Try challenging yourself by working through a variety of different subtraction problems.

4. Becoming an Expert in Adding and Subtracting Fractions

Adding and subtracting fractions can be daunting for students of all ages, but it’s especially complicated in elementary school. However, with some practice, you can learn the fundamentals of fraction addition and subtraction in no time. Here are some tips to help your child become an expert on adding and subtracting fractions:

  • Learn the basic rules of fractions – Understanding the basics is an essential first step. Be sure your student knows what numerators and denominators represent and how to add and subtract fractions with like denominators.
  • Understand how to find the LCD – Knowing what the lowest common denominator is and how to find it is critical when adding and subtracting fractions. Showing your student methods to solve for the LCD will help them grasp the topic better.

Making sure your student understands the basics and working through examples together to reinforce the concepts are key steps in becoming an expert at adding and subtracting fractions. There are also lots of websites and apps that can help your student practice and hone their skills. The sooner it clicks, the more likely your student will be more confident in their fraction ability.

Fractions can be fun and educational for all ages. With some practice, even the most basic addition and subtraction operations can be completed quickly and accurately. Who knows, before long you may be a fractions pro too!