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Llana [10]
3 years ago
9

Express the following as a fraction in its simplest form.

Mathematics
1 answer:
pychu [463]3 years ago
6 0

Given:

Consider the given expression is:

\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}

To find:

The simplified form of the given expression.

Solution:

We have,

\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}

Taking LCM, we get

=\dfrac{10(h+f)+15(f+k)+6(4h-k)}{30}

=\dfrac{10h+10f+15f+15k+24h-6k}{30}

=\dfrac{34h+25f+9k}{30}

Therefore, the required simplified fraction for the given expression is \dfrac{34h+25f+9k}{30}.

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