Adding Fractions Calculator

Introduction to Adding Fractions Calculator:

Adding fractions calculator is a digital tool that helps you to evaluate the fraction addition questions in a few seconds. Our tool determines the fraction sum questions for both like and unlike denominator fractions and converts them into the simplest form.

When you do adding fraction calculations manually it takes time and effort to get a solution because some problems are complicated in nature. If you make a mistake during calculations then you again repeat the process, to get rid of all this hustle you must try out our fraction addition calculator that provides solutions quickly.

What is Adding Fractions?

Adding fractions involves combining two or more fractions into a single fraction. For the addition of fractions, it needs the same denominator. Add their numerators together by retaining the denominator same for both fractions.

If the fractions have different denominators, you need to find a common denominator before adding them together.

What is the Formula for Adding Fractions?

The formula for adding fractions consists of two or more than two fractions. Here, one fraction is a/b and the other is c/d. The formula used by the adding fractions calculator is,

$$ \frac{a}{b} + \frac{c}{d} \;=\; \frac{ad + bc}{bd} $$

Where:

• a and c are the numerators of both fractions, respectively.
• b and d are the denominators of both fractions, respectively.

How does Fraction Addition Calculator work?

Fraction adding calculator uses a simple method to calculate the sum of fraction problems. Let's understand how to solve adding fractions for both like fractions and unlike fractions in detail for your conceptual clarity.

Adding Fractions for like Denominator:

For adding like fractions (fractions with the same denominator), an explained example is given. For example, adding fractions from ⅓ to 2/3.

Step 1: The add fractions calculator adds the numerators of both fractions together but the numerator remains the same (without adding),

$$ \frac{1}{3} + \frac{2}{3} \;=\; 1 + \frac{2}{3} $$

Step 2:

Since the fractions have the same denominator, after the sum of the numerators, the result is

$$ 1 + \frac{2}{3} \;=\; \frac{3}{3} $$

Step 3:

If the numerator and denominator have common factors, then fraction adding calculator first simplify the results of adding fractions.

$$ \frac{3}{3} \;=\; 1 $$

Adding Fraction for Unlike Denominator:

In fractions unlike fractions (fractions with different denominators), cannot be added but it is a necessary condition to first convert it into like fraction and then solve it.

Let's explain the method of how unlike denominator fractions are added with the help of an example find the adding fraction ⅔ + ¼ .

Addition fraction calculator finds the least common multiple (LCM) of both the denominators. The LCM of 3 and 4 is 12. Then it converts the given fraction with the common denominator using the multiply or divide rule.

$$ 2 \times \frac{4}{3} \times 4 \;=\; \frac{8}{12} $$

$$ 1 \times \frac{3}{3} \times 4 \;=\; \frac{3}{12} $$

Now this unlike fraction becomes like fraction then adding fraction calculator adds the numerators of both the fractions together as,

$$ \frac{8}{12} + \frac{3}{12} \;=\; 8 + \frac{3}{12} $$

After adding both fractions the result will be;

$$ 8 + \frac{3}{12} \;=\; \frac{11}{12} $$

As you see there is no common multiple between the fraction results. So it cannot be reduced to the simplest form.

Practical Example of Adding Fraction:

Let us observe a practical example of an adding fraction problem to understand the working procedure of an adding fractions calculator.

Example:

Add the following:

$$ \frac{2}{3} + \frac{1}{5} $$

Solution:

Stepwise Guide to Use Adding Fractions Calculator:

Add fractions calculator has an easy-to-use design so that you can use it to calculate the fraction addition of both like or unlike fractions.

Before adding the input value to the different types of fractions, you must follow some simple steps. These steps are:

1. Enter the numerator and denominator of the first fraction in the input box.
2. Enter the numerator and denominator of the second fraction in the input box.
3. Review your input fraction value before hitting the calculate button to start the calculation process.
4. Click on the “Calculate” button to get the desired result of your given fraction problem for addition.
5. If you want to try out our fraction addition calculator first then you can use the load example for a better understanding.
6. Click on the “Recalculate” button to get a new page for solving more adding fraction problems.

Outcome of Add Fractions Calculator:

Adding fractions calculator gives you the solution of adding a fraction problem when you give an input to it. It provides you with solutions in a step-wise process in no time. It may contain as:

• Result Option:

You can click on the result option and it provides you with a solution for adding fraction problems.

• Possible Step:

When you click on the possible steps option it provides you with the solution and all calculation steps only.

Useful Features of Fraction Adding Calculator:

Addition fraction calculator has useful features especially whenever you use it to calculate adding fraction problems. These features are:

• Our fraction calculator addition saves your time and effort from doing lengthy calculations of the fraction addition question in a few seconds
• It is a free-of-cost tool so you can use it to find the addition of fractions without paying any fee.
• Fraction addition calculator is a user-friendly tool that allows you to use it with any device like a laptop, computer, mobile, tablet, etc.
• You can use this adding fraction calculator to get a strong hold on this concept when you doing multiple calculations in it.
• It is a reliable tool that provides you with accurate solutions every time whenever you use it to calculate the given adding fraction problem.
• Adding fractions calculator provides a solution with a complete process in a step-by-step method so that you get more clarity.