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How do you solve #n/4 - 5/6 = 5/12#?

Answer 1

Savannah Anderson

#n/4 - 5/6 = 5/12#

Adding #5/6# both sides we get

#=>n/4 - cancel(5/6)+cancel(5/6) = 5/12+5/6#

#=>n/4 = 5/12+5/6#

dividing both sides by four

#=>n/cancel4xxcancel4 = 5/cancel12^3xxcancel4+5/cancel6^3xxcancel4^2#

#=>n = 5/3+10/3# #=>n = (5+10)/3=15/3=5#

#:.n=5#

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Answer 2

Isaiah Anthony

To solve the equation ( \frac{n}{4} - \frac{5}{6} = \frac{5}{12} ), you would:

Find a common denominator for the fractions.
Subtract ( \frac{5}{6} ) from ( \frac{n}{4} ).
Equate the resulting fraction to ( \frac{5}{12} ).
Solve for ( n ).

Here's a step-by-step breakdown:

The common denominator for ( 4, 6, ) and ( 12 ) is ( 12 ).
Rewrite ( \frac{n}{4} ) as ( \frac{3n}{12} ) and ( \frac{5}{6} ) as ( \frac{10}{12} ).
Rewrite the equation as ( \frac{3n}{12} - \frac{10}{12} = \frac{5}{12} ).
Subtract ( \frac{10}{12} ) from ( \frac{3n}{12} ) to get ( \frac{3n - 10}{12} = \frac{5}{12} ).
Now, ( \frac{3n - 10}{12} = \frac{5}{12} ). Equate the numerators: ( 3n - 10 = 5 ).
Solve for ( n ): ( 3n = 15 ), ( n = 5 ).

Therefore, the solution to the equation is ( n = 5 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.