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How do you combine #5/x + 9/(4x)#?

Answer 1

Savannah Anderson

#5/x+9/(4x)=color(blue)(29/(4x)#

#5/x+9/(4x)#

In order to add fractions, they must have the same denominator. In this case, #4x# is the common denominator.

Multiply the fraction #5/x# by #4/4#.

#5/x*(4/4)+9/(4x)#

Simplify.

#(5*4)/(x*4)+9/(4x)#

Simplify.

#20/(4x)+9/(4x)=#

#29/(4x)#

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Answer 2

Nathan Axel

To combine the fractions 5/x and 9/(4x), you need to find a common denominator. In this case, the common denominator is 4x.

To do this, multiply the numerator and denominator of the first fraction, 5/x, by 4 to get 20/4x.

The second fraction, 9/(4x), already has the common denominator.

Now, you can add the fractions together: (20/4x) + (9/(4x)) = (20 + 9)/(4x) = 29/(4x).

Therefore, the combined fraction is 29/(4x).

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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.