Given:
Consider the given expression is:
[tex]\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}[/tex]
Taking LCM, we get
[tex]=\dfrac{10(h+f)+15(f+k)+6(4h-k)}{30}[/tex]
[tex]=\dfrac{10h+10f+15f+15k+24h-6k}{30}[/tex]
[tex]=\dfrac{34h+25f+9k}{30}[/tex]
Therefore, the required simplified fraction for the given expression is [tex]\dfrac{34h+25f+9k}{30}[/tex].
