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If n+h/5=f+9/9, then n/5=

1 Answer

4 votes
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Question
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\boxed { (n+h)/(5) = (f+9)/(9)}

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Split the fraction on the left
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\boxed { (n)/(5) + (h)/(5) = (f + 9)/(9)}

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Take away h/5 from both sides
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\boxed { (n)/(5) = (f+9)/(9) - (h)/(5)}

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Change the denominator to be the same
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\boxed { (n)/(5) = (5f+45)/(45) - (9h)/(45)}

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Put it into single fraction
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\boxed { (n)/(5) = (5f+45-9h)/(45) }

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Rearrange (This step may not be necessary)
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\boxed {(n)/(5) = (5f-9h+ 45)/(45) }



\bf \Longrightarrow \ Answer \ : \boxed {\boxed {(n)/(5) = (5f-9h+ 45)/(45) }}

User Dennisdrew
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