**Rule 18:**- To add fractions, the denominators must be equal.
Complete the following steps to add two fractions.
**1.**- Build each fraction so that both denominators are equal.
**2.**- Add the numerators of the fractions.
**3.**- The denominators will be the denominator of the built-up fractions.
**4.**- Reduce the answer.

**Problem 5:**- Add the fractions and reduce your answer.
**Answer:**- The answer is .
**Solution:**- Convert the whole number 5 to a fraction and rewrite
the problem.
.

The denominators are different; therefore, the first step is to build the fractions to fractions with common denominators. 20 can be factored as follows: 20 = 4 5 and 24 can be factored as follows: 24 = 4 6.

Rewrite the fractions where the denominators are in factored form.

.

It appears that the common denominators must have the factors 4, 5 and 6.Multiply each fraction by the form of 1 that will yield denominators with the same set of factors. (i.e., you can find each set of factors in the denominator of the answer)

, , and .

Add the numerators: 600 + 18 + 5 = 623.

The answer is .

This answer is already reduced so you can skip step 4. **Check:**- You can check the answer with your calculator.

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