manahil6744 manahil6744
  • 26-04-2021
  • Mathematics
contestada

Express the following as a fraction in its simplest form.
1. h+f/3 - f+k/2 + 4h-k/5
plz answer this question.....

Respuesta :

erinna erinna
  • 01-05-2021

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].

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