The calculator below is extremely easy to use and will allow you to multiply, divide, add or subtract fractions. It also works with whole numbers and mixed numbers. Answers are provided in simplified form whenever possible and you will also get a detailed solution for each calculation entered. We have also included some instructions below to help those who want to do the calculations manually. before checking it with our software.
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How The Fraction Calculator Works
Our calculator performs a wide range of operations that are very easy to do manually also. See the formulas below. It is particularly helpful for students preparing for their exams but also for daily use by anyone.
An Introduction to fractions
Fractions are an important part of your math lesson to learn and understand. We use fractions in our daily lives without even realizing it, since many things that we use and buy are measured in fractions. Fractions simply go beyond your math class and classroom lessons, they are represented in the real world in real ways. Understanding how to find and use fractions will help you when you come across the daily activities in your life.
What are fractions?
Let's start off by simply explaining what fractions are. Fractions include the quantities or numbers that are not whole numbers, but are also rational numbers. You can use fractions to describe a part of something, or to divide something. For example, if a piece of a pizza is divided into six pieces and you take away one piece, there is now 5/6 of the pizza pie left because you have taken a part of it out. The pizza is no longer whole.
When you look at a glass that is filled with water to the half way point, you can determine that the cup has 1/2 filled. If you filled the cup up a quarter more, you can say that the cup is 3/4 full of water. Fractions can be used to describe pretty much anything that is a part, that is divided, or that measures something.
How do we use fractions?
Many times in the real world, we come across problems and situations that must be solved through fractions. For instance, fractions can be used to describe a measurement. When baking, you need to differentiate between measurements so that you are using the right amount of ingredients. Many times, recipes will call for a fraction of an ingredient. This can be represented if, for example, you're baking cookies and come across a step that requires 3/4 of a cup of flour. You can also use fractions to measure distances. If you're using a ruler to measure the length of a string that does not round to a whole number, you can use the ruler to determine the length in a fraction, for example 6 1/2 inches.
If you buy a container of milk, you are probably buying it in either a half gallon or a quart, which is 1/4 of a gallon. If you need to put gas in your tank, you can fill it up 1/4 of the way. You can measure drinks and liquids in fractions, as well as food.
You also need to use fractions in various professional careers. Scientists and chemists especially use fractions to measure the right amount of chemicals they need to mix with other ingredients to create a solution or product. People who work in construction must be able to use fractions to do measurements for building products. Cooking requires an abundance of fractions, with recipes that involve tons of half-cups and quarters. Fractions can also be used to measure and deal with time. There are plenty of examples that illustrate how we use fractions in everyday life, they are essential pieces of the real world that help us solve problems and make our life easier.
How do we calculate fractions?
Fractions can be added, multiplied, and subtracted well to solve problems. Fractions can also be represented in decimal form, which is one way to convert them. It's important to understand the methods to calculating fractions so that you can come up with solutions and carry on with the routines of daily life.
Before you add two fractions together, you must make sure that both fractions have the same denominator, which is the bottom number. To find a common denominator, multiply both the denominator and numerator by a number that will give you a common denominator on both fractions. Once you've done this, you simply need to add the numerators while keeping the denominators the same to come up with your answer.
In order to subtract fractions, it works similar to adding fractions. You must first make your fractions have the same denominator. Once this is done, you can subtract the two numerators and keep the common denominator for your answer.
Multiplying fractions is a simpler process that requires less steps. You do not need to make both of the denominators the same. Just simply multiply across the numerators, and then across the denominators for the answer.
Improper fractions are a little more complicated, but they can be easily solved. Improper fractions are fractions in which the numerator is a larger number than the denominator, meaning that it is not represented as a whole number. 5/3 is an example of an improper fraction. In order to fix improper fractions, you must take out the whole number. These fractions can be solved by turning it into a mixed number to make the fraction proper again. You can do this by dividing the numerator by the denominator to the closest whole number, in this case you would get 1. Now, 1 will be the whole number and the remainder number, which is 2, will be the numerator of the new fraction. The denominator stays the same.
5/3 = 1 2/3
In all, you can and likely will use fractions in the real world. When learned and understood, fractions are an extremely useful math concept that can be used to describe measurement and time in various ways. There are many instances throughout life where knowing fractions will be a sufficient benefit, and it is an essential skill to have in all professional jobs. Even the simplest daily tasks often require fractions, you can't bake a cake or describe the time to someone without using some variation of fractions. While fractions may seem like another annoying math lesson to overcome, they are really important foundational blocks to further understanding the concepts that will help you succeed in life.
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