A fraction consists of a numerator and a denominator. For adding fractions with different denominators, all you have to do is take a common denominator by finding the lowest common denominator. The easiest way to find the common denominator is to multiply the denominators.

A part of a whole numbers called fraction.

Fractions can be created by having two numbers minimum. Upper number of the fraction called numerator. Lower number of the fraction called as denominator. i.e, $\frac{Numerator}{Denominator}$

For example, $\frac{1}{4}$ is a fraction.

Fractions could be used to solve addition of fractions, subtraction of fractions, multiplication of fractions, and division of fractions. In this article, we shall discuss about adding fractions with different denominators.

Below are the steps for how to add fractions with unlike denominators-

**Step 1 :** Find the Least Common Denominator (LCD) of the fractions.

** Step 2 : **Rename the fractions to have the LCD.

** Step 3 : **Add the numerators of the fractions.

** Step 4 : **Simplify the fraction.

Now see the solved examples on how to add fractions with different denominators -

The given two fractions $\frac{50}{9}$ and $\frac{30}{10}$ are unlike fractions

Step 1: LCD of 9 and 10 => 90

Step 2: So, $\frac{50\times10}{9\times10}$ + $\frac{30\times9}{10\times9}$

= $\frac{500}{90}$ + $\frac{270}{90}$

Step 3: Since the denominators are same so, add the fractions together

= $\frac{500 + 270}{90}$

The sum of 500 and 270 is 770

= $\frac{770}{90}$

The given two fractions $\frac{280}{2}$ and $\frac{270}{3}$ are unlike fractions

Step1: LCD of 2 and 3 = 6

Step 2: So, $\frac{280\times3}{2\times3}$ + $\frac{2\times270}{2\times3}$

= $\frac{840}{6}$ + $\frac{540}{6}$

Step 3: Since the denominators are same so, add the fractions together

= $\frac{840+540}{6}$

The sum of 840 and 540 is 1380

= $\frac{1380}{6}$

The given two fractions $\frac{320}{10}$ and $\frac{330}{11}$ are unlike fractions

Step 1: LCD of 10 and 11 = 110

Step 2: So, $\frac{320\times11}{10\times11}$ + $\frac{10\times330}{10\times11}$

= $\frac{3520}{110}$ + $\frac{3300}{110}$

Step 3: Since the denominators are same so, add the fractions together

= $\frac{3520+3300}{110}$

The sum of 3520 and 3300 is 6820

= $\frac{6820}{110}$

The given two fractions $\frac{340}{12}$ and $\frac{350}{13}$ are unlike fractions

Step 1: LCD of 12 and 13 = 156

Step 2: So, $\frac{340\times13}{12\times13}$ + $\frac{12\times350}{12\times13}$

= $\frac{4420}{156}$ + $\frac{4200}{156}$

Step 3: Since the denominators are same so, add the fractions together

= $\frac{4420 + 4200}{156}$

The sum of 4420 and 4200 is 8620

= $\frac{8620}{156}$

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