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How do write in simplest form given #1/2-1/3#?

Answer 1

We first have to make the denominators equal before anything else.

We can multiply each fraction by #1# without consequence, where the #1# is written as #3/3# and #2/2# respectively: #=1/2*3/3-1/3*2/2#

#=(1*3)/(2*3)-(1*2)/(3*2)#

#=3/6-2/6=(3-2)/6=1/6#

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Answer 2

Julian Avila

To simplify ( \frac{1}{2} - \frac{1}{3} ), find a common denominator for the fractions, which is 6. Then, rewrite the fractions with the common denominator:

[ \frac{1}{2} = \frac{3}{6} ] [ \frac{1}{3} = \frac{2}{6} ]

Now subtract the fractions:

[ \frac{3}{6} - \frac{2}{6} = \frac{1}{6} ]

So, ( \frac{1}{2} - \frac{1}{3} ) simplifies to ( \frac{1}{6} ).

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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.