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Mathematics 19 Online
OpenStudy (anonymous):

1/4-2/5+6/14

OpenStudy (anonymous):

You need to find the LCD of 4, 5, and 14.

OpenStudy (anonymous):

Or the LCM rather.

OpenStudy (anonymous):

Can you show me the working

OpenStudy (anonymous):

Do you know how to find the LCM?

OpenStudy (anonymous):

is 2

OpenStudy (anonymous):

The LCM of 4, 5, and 14 is not 2.

OpenStudy (anonymous):

To find the LCM of a collection of small numbers it's a good idea to make a chart of the multiplicity of all the factors in your set.

OpenStudy (anonymous):

So for example: \[4 = 2^2\]\[5 = 5^1\]\[14 = 2^1\cdot 7^1\] So we make a chart: \begin{array}{|c|ccc} Number & 2 & 5 & 7 \\ \hline 4 & 2 & 0 & 0 \\ \hline 5 & 0 & 1 & 0 \\ \hline 14 & 1 & 0 & 1 \end{array} Then you take the product of the max multiplicity from each column to find the LCM: \[LCM = 2^2 \cdot 5^1 \cdot 7^1 = 140 \]

OpenStudy (anonymous):

so what is the answer, i got 0.28

OpenStudy (anonymous):

Polpak please answer me

OpenStudy (anonymous):

\[\ \ \ \frac{1}{4} - \frac{2}{5} + \frac{6}{14}\]\[=\frac{35}{140} - \frac{56}{140} + \frac{60}{140}\]\[=\frac{95 - 56}{140}\]\[=\frac{39}{140} \approx .27857\]

OpenStudy (anonymous):

Thank you , you are a really master of maths

OpenStudy (anonymous):

Polpak Thank you very much

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