Adding fractions calculator
Adding fractions calculator online.
Enter fractions and press the = button.
Enter simple fractions with slash (/).
For example: 1/2 + 1/3
Enter mixed numbers with space.
For example: 2 1/2 + 1 1/3
Adding fractions example
1/2 + 1/3 = (1×3+1×2) / (2×3) = 5/6
Here we discuss list of online math calculators that help us for doing calculation easily.
Adding fractions calculator helps you evaluate the sum of up to five fractions in the blink of an eye. In maths, fractions represent a part of a whole thing. Mathematically, a fraction can be written in the form of a/b, where a is the numerator and b is the numerator. While performing the comparison of fractions, we may come across different types of fractions such as like and unlike fractions, etc. If the denominators of fractions are different, then they are said to be unlike fractions.
How to add fractions?
A fraction is a number formed from the ratio of two numbers (A and B). These numbers are typically integers (whole numbers), so that:
fraction = A/B.
It turns out you can convert any decimal to a fraction. As a result, you can add as many decimals as you like together by treating them as if they were fractions. Whenever we want to add two fractions with a common denominator, let's say 2/7 and 3/7, we need to add numerators, while the denominator remains the same:
2/7 + 3/7 = (2+3)/7 = 5/7.
Adding fractions with unlike denominators
When the numbers have different denominators, the addition of fractions is a bit more challenging, as you can't just add the numerators like before. The trick is to use common denominators. Let's see how it works. Let's say we want to add 1/2 and 1/3:
1) 1/2 + 1/3 = …
2) Find the common denominator. To do so, we can estimate the least common multiple (LCM) of 2 and 3. LCM(2,3) = 6
3) Expand each fraction so that the denominator is this LCM, in this case 6: 1/2 = 3/6, 1/3 = 2/6
4) As we know how to add fractions with the same denominator, you can just add these fractions normally: … = 3/6 + 2/6 = 5/6
There are also other equivalent fractions to this result, such as 10/12, 15/18, to name a few. However, it's convenient to present the result in its simplest form.
Addition of fractions in practice - how to use adding fractions calculator?
Imagine a story - you are at a party with some of your friends. And there it comes - the hunger! What's even worse, you've just realized there is nothing left in the fridge.
A solution is simple - you are going to order a pizza, or two, or even more. You have to decide! The point is your favorite pizzeria sells pizzas as a whole, but you have an innovative method that can cut pizzas into 6, 8, or 12 slices. Everyone wants a certain fraction of a pizza: five of you want 4 of 6-slice pizzas, four of you prefer 3 of the 8-slice pizzas, and the remaining three will be happy with 6 of 12-slice ones. The main question is: How many pizzas should we order?
You can always evaluate it by hand, but why don't you try our adding fractions calculator and saving your time! Input the following values:
5*4 and 6 for the first number
4*3 and 8 for the second number
3*6 and 12 for the third one
The outcome is 19/3, or 6 1/3, as a mixed number. It means that six pizzas won't be enough, so you'd better order seven! Moreover, you can choose the step by step solution to see all the calculations with explanations. You are all welcome to read it while enjoying your delicious meal!