What is #2/6# + #3/5#?

Answer 1

The result is #14/15#

First it is useful to notice that #2# and #6# are both even numbers so fraction #2/6# can be reduced to #1/3#.

After the reduction our expression becomes: #1/3+3/5#

To calculate value of such expression we have to write both fractions as fractions with the same denominator. We can do this by expanding both fractions by the other fraction's denominator:

#1/3*color(red)(5/5)+3/5*color(red)(3/3)=5/15+9/15#

Finally to add the fractions with equal denominators we just add their numerators (the denominator stays unchanged):

#5/15+9/15=(5+9)/15=14/15#

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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.