Question

How do you add fractions with unlike denominators?

Answer 1

Hey there!

In order to add or subtract fractions with different denominators, we have to find the common denominator.

Example:

Suppose we need to add the following fractions:

`\displaystyle(1)/(2) +(1)/(3)`

What is the common denominator for these 2 fractions?

Well, we need to find the LCM (Least Common Multiple) of 2 and 3.

Multiples of 2: 2, 4, 6, 8, 10...

Multiples of 3: 3, 6, 9, 12, 15...

6 is the LCM, so we use 6 as our common denominator.

Now, what about the numerators?
We multiplied the denominator of the first fraction by 3, so we multiply the numerator of the first fraction by 3.

Then, we do the same to the second fraction.

We multiplied the denominator of the second fraction by 2, so we multiply the numerator of the first fraction by 2:

`\displaystyle(3)/(6) +(2)/(6)`

Now, we add 3+2:

`\displaystyle(5)/(6)`

I hope you find my answer helpful.

Good luck!

Have a great day!

`\bf{StargazingWithJoy}`

Answer 2

Step-by-step explanation: First, you have to find a common denominator, which is a number the denominator has in common. For example, a common denominator of 1/2 and 1/4 is 4 because 2x2=4 and 4x1=4. Then, the same number you multiplied by the denominator, you multiply it by the numerator. For example, 1/2, 1x2=2. 2/4=1/2. 1/4, 1x1=1= 1/4. Then you can add. 2/4 + 1/4=3/4