# Why do you think it is important to know how to find the common denominator of two rational polynomials?

You need to find the common denominator in order to add or subtract them. You can only add or subtract "like things" and by finding a common denominator you make both rational expressions into things that can be added or subtracted.

### Can you add two rational number to get irrational number?

No. By definition, each rational number must be expressible exactly as a ratio of two integers. A common denominator of the denominators of these fractions can always be found by multiplying the two denominators together, and this product will still be an integer. The two original fractions can then be converted to this common denominator by multiplying the numerator of each one by the denominator of the other, again producing only integer products, and adding…

### What are the steps in solving rational equations?

1. First we need to determine the least common denominator of the fractions in the given rational equation. 2. We need to take out the fractions by multiplying All terms by the least common denominator. 3. Then we have to simplify the terms in rational equation. 4. Solve the resulting equation. 5. Check the answers to make confident the solution does not make the fraction undefined.

### Why do you need a common denominator?

Common Denominator means that the denominators in two (or more) fractions are common, or the same. The common denominator is important because before you can add or subtract fractions, the fractions need to have a common denominator. Sometimes fractions have different denominators, like 2/3 and 3/4. If you want to add or subtract them, they need to have the same denominator. In order to do that, you find a common denominator which is the same…

### How is adding rational numbers different than adding whole numbers?

Whole numbers are rational numbers with a denominator of 1. The difference with general rational numbers is that the denominators are likely to be different and they must be made the same by converting the fractions into equivalent fractions with the same denominator before the addition can be done - by adding the numerators and keeping the denominator, and simplifying (if possible) the result. With whole numbers the denominators are already the same (as 1)…

### How do we add rational expressions when the denominators are not the same?

Find a common denominator, which can always be accomplished by multiplying the two denominators together. Then convert each original fraction to the new denominator by multiplying both numerator and denominator by a number that will make the denominator of each fraction the same, then add the converted numerators and express the sum as a new fraction with the sum of the converted numerators divided by the common denominator. For example, a/b + c/d = (da…