Least Common Denominator | MathHelp.com - By MathHelp.com
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| 00:0-1 | to add these two fractions together . 16 plus 4/5 | |
| 00:06 | . We need a common denominator . The common denominator | |
| 00:11 | is simply the least common multiple For the two denominators | |
| 00:17 | . So here our first step is to find the | |
| 00:18 | least common multiple for six and 5 . six factors | |
| 00:25 | as three times 2 And five dozen factor . Remember | |
| 00:32 | when finding the least common multiple ? We're looking for | |
| 00:35 | factors that match up and here we have no factors | |
| 00:39 | that match up so or at least common multiple . | |
| 00:42 | Or L C M is simply three times two times | |
| 00:47 | five or six times five which is 30 . So | |
| 00:54 | at least common denominator for these two fractions is 30 | |
| 01:01 | . In order to get a denominator of 30 . | |
| 01:03 | In the first fraction We must multiply our denominator of | |
| 01:07 | six by five . Yeah , the problem is we | |
| 01:13 | can't just multiply the denominator of a fraction by five | |
| 01:17 | because that changes its value . However , if we | |
| 01:22 | also multiply the numerator of the fraction by five , | |
| 01:27 | we're actually multiplying the fraction by 5/5 which is one | |
| 01:34 | . And when we multiply anything by one it doesn't | |
| 01:37 | change its value . So our first fraction becomes five | |
| 01:43 | over 30 . Notice that 5/30 has the same value | |
| 01:51 | As 1/6 . For our second fraction we have a | |
| 01:56 | five in the denominator And we want a common denominator | |
| 02:00 | of 30 . So we must multiply this five by | |
| 02:04 | six . And when we multiply the denominator refraction by | |
| 02:09 | six , we must also multiply The Numerator by six | |
| 02:14 | . So we have plus 24 . Uh huh Over | |
| 02:20 | 30 5/30 plus 24/30 is 29/30 , which is our | |
| 02:33 | final answer . |
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