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How do you simplify #7/(4r)-3/t#?

Answer 1

See the solution process below:

If you want to simplify this expression by adding the two fractions you must first have each fraction over a common denominator. he Lowest Common Denominator for these two fractions is #4rt#. Therefore we must first multiply each fraction by the appropriate form of #1# to put each of them over this common denominator:

#7/(4r) - 3/t = (t/t xx 7/(4r)) - ((4r)/(4r) xx 3/t) = (t xx 7)/(t xx 4r) - (4r xx 3)/(4r xx t)#

#= (7t)/(4rt) - (12r)/(4rt)#

You can now add the numerators over the common denominator:

#(7t)/(4rt) - (12r)/(4rt) = (7t - 12r)/(4rt)#

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Answer 2

Eli Assouline

To simplify the expression 7/(4r) - 3/t, we need to find a common denominator for the fractions. The common denominator is 4rt.

Multiplying the first fraction by t/t and the second fraction by 4r/4r, we get:

(7t - 12r)/(4rt)

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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.