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How do you simplify #2/15 - 1/10#?

Answer 1

See a solution process below:

First, multiply each fraction by the appropriate form of #1# to put the fractions over a common denominator without changing the value of the fractions:

#(2/2 xx 2/15) - (3/3 xx 1/10) =>#

#(2 xx 2)/(2 xx 15) - (3 xx 1)/(3 xx 10) =>#

#4/30 - 3/30#

Take the numerators and subtract them from the common denominator now.

#4/30 - 3/30 =>#

#(4 - 3)/30 =>#

#1/30#

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Answer 2

Abigail Allen

To simplify ( \frac{2}{15} - \frac{1}{10} ), you need to find a common denominator for the fractions, which is 30. Then, rewrite each fraction with the common denominator:

[ \frac{2}{15} = \frac{2 \times 2}{15 \times 2} = \frac{4}{30} ] [ \frac{1}{10} = \frac{1 \times 3}{10 \times 3} = \frac{3}{30} ]

Now, subtract the fractions:

[ \frac{4}{30} - \frac{3}{30} = \frac{4 - 3}{30} = \frac{1}{30} ]

So, ( \frac{2}{15} - \frac{1}{10} = \frac{1}{30} ).

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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.