This adding fractions calculator will quickly assist you in calculating the sum of two fractions. This calculator can add two fractions in the blink of an eye, whether they are negative or positive.

A fraction is a number formed by the ratio of two integers. If **‘a’** and **‘b’** are two numbers, then ** ^{a}/_{b}** is a fraction if

**dâ‰ 0**; otherwise, the fraction is undefined.

*Some of the common examples of fractions are *^{5}/_{10} , ^{3}/_{2} , – ^{1}/_{2} , 3^{1}/_{2} (mixed fraction) etc…

Positive and negative fractions are also possible. The numerator is the highest number in a fraction, while the denominator is the lowest. The fraction is incorrect if the numerator is greater than the denominator.

When a fraction is added to a whole number, we call it a “mixed number.” A proper fraction has a denominator that is greater than the numerator. Proper fractions are also known as common fractions and simple fractions.

**Adding Fractions Calculator Use**

- This calculator is easy to use and understand.
- Fill in the fraction values in both fields.
- The calculator will take care of the rest.
- Both a fraction and a decimal version of the solution will be provided.

**Solved Example on Adding Fractions**

When the denominators of fractions are the same, they can be easily added.

**Example 1 :** Adding Fractions with Same Denominator

Add ^{3}/_{6} + ^{7}/_{6}

**Solution :**

Because the values in the denominator are the same, we can easily sum these two fractions.

^{3}/_{6} + ^{7}/_{6}

^{3+7}/_{6} = ^{10}/_{6}

^{10}/_{6} = ** ^{5}/_{3}** ….(dividing numerator and denominator by 2)

When fractions have different denominators, they can’t be combined unless they’re both rewritten with the same denominator, which is known as a common denominator.

**Example 2 :** Adding Fractions with Unlike Denominator

Add ^{8}/_{6} + ^{5}/_{2}

**Solution :**

Now, in this example, the denominators of the two fractions differ. As a result, we cannot simply combine the fractions as we did in the first example. First, we must match the denominators of the two fractions.

^{8}/_{6} + ^{5}/_{2}

Multiply the numerator and denominator of the first fraction with 2.

We get, ^{8}/_{6} = ^{16}/_{12}

Now multiply the numerator and denominator of the second fraction with 6.

We get, ^{5}/_{2} = ^{30}/_{12}

Now that the denominators of both fractions are the same, we may add them together.

^{16}/_{12} + ^{30}/_{12} = ^{16+30}/_{12} = ^{46}/_{12}

By simplifying,

** ^{46}/_{12}** =

**….(dividing numerator and denominator by 2)**

^{23}/_{6}