The expression $\displaystyle \frac{5x}{6}+\frac{x}{4}$ is equivalent to..

How would i solve this problem?

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- Jan 23rd 2008, 12:59 PM #1

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- Jan 23rd 2008, 02:15 PM #2

- Jan 23rd 2008, 02:18 PM #3

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- Jan 23rd 2008, 02:25 PM #4

- Jan 23rd 2008, 02:29 PM #5
if you want to find the common denominator you can just multiply the denominators of the given fractions which would yield 24 thus:

$\displaystyle

\frac{{20x + 6x}}

{{24}} = \frac{{26x}}

{{24}}

$

but in this case a smaller common denominator can be found which is 12:

$\displaystyle

\frac{{10x + 3x}}

{{12}} = \frac{{13x}}

{{12}}

$

the same result could be obtained in the first method if we canel the highest common factor of 26 and 24 which is 2.

- Jan 23rd 2008, 02:41 PM #6

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- Jan 23rd 2008, 02:48 PM #7
the lowest common denominator is 12 the denominator of 5x is 6 thus it has to be multiplied by 2 so that it will be 12 and so the nominator has to be also multiplied by 2, this is where 10x comes from. The denominator of the second fraction is 4 thus it has to be multiplied by 3 to get 12 and the nominator also has to be multiplied by by 3, this is where 3x comes from.

- Jan 23rd 2008, 02:52 PM #8

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