# Algebra II : Adding and Subtracting Fractions

## Example Questions

### Example Question #9 : Subtraction With Fractions

Subtract these fractions:

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 4 over 4 and the second fraction by 7 over 7.

Subtract the numerators of these fractions to get the final answer.

### Example Question #41 : Operations With Fractions

Subtract these fractions:

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 9 over 9 and the second fraction by 8 over 8.

Subtract the numerators of these fractions to get the final answer.

### Example Question #51 : Fractions

Subtract these fractions:

Explanation:

To solve this we need to first find common denominators. We do that by multiplying the first fraction by 3 over 3 and the second fraction by 7 over 7.

Subtract the numerators of these fractions to get the final answer.

### Example Question #52 : Fractions

Explanation:

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.

### Example Question #53 : Fractions

Explanation:

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: .

### Example Question #54 : Fractions

Simplify:

Explanation:

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.

### Example Question #1 : Partial Fractions

Explanation:

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.

### Example Question #55 : Fractions

Solve:

Explanation:

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.

### Example Question #56 : Fractions

Add the following fractions:

Explanation:

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

Multiply the denominators together.

Reconvert the fractions.

### Example Question #57 : Fractions

Perform the following operation: