When you wish to add fractions with unlike denominators, you change them into fractions with like denominators. First of all, remember that you can multiply a number by one, and the number remains the same. Now the number one can also be presented as any number divided by itself. So, 2/2 is one, and so is 3/3, or 4/4, or 98,235/98,235. So if you have thirds, and you would rather have twelfths, just multiply the fraction by 4/4. So, 1/3 = 4/12. You can always get your fractions to have the same denominator by this method. And then, addition becomes very easy. Just add the numerators. When the addition has been done, you may also want to simplify the fraction (for example, changing 4/12 to 1/3).
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If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator.
Answer: When adding or subtracting fractions with different denominators it is important to change the denominators into the lowest common denominator by using equivalent fractions. Answer: Equivalent fractions are used to: * Simplify fractions. It is sort of inelegant to write the final solution of a problem as 123/246, when you can just as well write it as 1/2. * Add fractions. If two fractions have different denominators, you need to convert them to equivalent fractions that have the same denominator. Only then can you add. * Subtract fractions (same as addition). * Compare fractions, to check which one is larger (same as addition).
Whatever you use, the answer is 13/40
You need to answer this question because your teacher is looking for your critical thinking skills and how well you understood the lesson.
Ok. First you make sure the denominator (bottom number) is the same on all the fractions. The easiest way to do this is to multiply the denominators together, then multiply each numerator by the opposite fractions denominator. This is the easiest way to do this, you will simplify later. ONLY DO THIS IF THE DENOMINATORS ARE DIFFERENT. If they are the same just add the numerators together to get your fraction. Then simplify.