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How do you simplify #(-1/4)/(3/10)#?

Answer 1

#-5/6#

When dividing a fraction by a fraction, you must take the reciprocal of the bottom fraction (flip the fraction in other words) and multiply the fraction across. (See below)

#(-1/4)/(3/10)#

Flip #3/10# so that it becomes #10/3#.

Then, multiply as you would

#("numerator " xx " numerator")/("denominator " xx " denominator")#

The setup looks like this:

#(-1/4)*(10/3) = -10/12 #

You can simplify if required to get #-5/6# since both #10# and #12# are divisible by #2#.

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Answer 2

Autumn Arnold

To simplify (-1/4) divided by (3/10), you multiply the numerator of the first fraction by the reciprocal of the second fraction. The reciprocal of 3/10 is 10/3. So, (-1/4) divided by (3/10) becomes (-1/4) multiplied by (10/3). When you multiply these fractions, you multiply the numerators together and the denominators together. So, (-1/4) * (10/3) = (-1 * 10) / (4 * 3) = -10/12. Finally, you can simplify -10/12 by dividing both the numerator and denominator by their greatest common divisor, which is 2. So, -10/12 simplifies to -5/6. Therefore, (-1/4) divided by (3/10) simplifies to -5/6.

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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.