To solve this problem, first identify the common denominator, which happens to be: Therefore, you just need to offset the first fraction so that it becomes . Then, combine the numerators, remembering that there is a subtraction sign: . Put that over the denominator so that you have: . I'd factor to make sure you can't simplify anymore: . It turns out you can't so this is your final answer.

To combine these two fractions, you must first identify the common denominator. In this case, it's the product of the two denominators . Then, multiply each of the numerators by their missing piece of the denominator: . Now, you can combine the numerators to get: . Simplify and combine like terms to get: .

Simplify the complex fraction  first.

Rewrite the complex fraction using a division sign.

Turn the division sign to a multiplication sign and take the reciprocal of the second term.  Simplify.

Add this number with the second term.

In order to add the numerators of the fractions, we need to find the least common denominator.

The least common denominator is:  

We will need to multiply the numerator and denominator by  to match the denominators of both fractions.

Simplify the fraction.

Combine the two fractions.

The answer is:  

Find the least common denominator.  One method is to multiply all three uncommon denominators together.

Rewrite the fractions. For each fraction, multiply the numerator with what was multiplied on the denominator to get the least common denominator.

Add the numerators.  The denominators do not change.

In order to add the fractions, we must find a least common denominator.

Multiply the denominators together.  

Reconvert the fractions.

The answer is:  

Perform the following operation:

To start, we will need a common denominator. In this case, let's use 16, because it is the smallest possible common denominator.

Next, simply add across the top and we have our answer!

To add fractions we must find a common denominator. In this example we do so by multiplying each side by the denominator of the other fraction:

Add the numerators:

Complete the following operations:

To complete this problem, we will need to make common denominators. Let's try 16, because it is the least common denominator.

So, we want the denominators of all our fractions to be 16. We get there by multiplying both halves of the fraction by the number which will get our denominator to 16. This sounds confusing, but makes more sense when we see it in action:

See how we multiply the first fraction by 2's and the second by 4's?

Next, complete the problem by combining the fractions by adding/subtracting along the top:

So our answer is:

To add these fractions, first identify the common denominator, which is the product of the two: . Then, multiply each numerator by what you multiplied its respective denominator by. . Add the numerators: . Then, your answer is: .