You exercise for #3/4# of an hour. You jump rope for #1/3# of that time. In simplest form, what fraction of the hour do you spend jumping rope?

Answer 1

Skylar Adams

You spend #1/4# of the hour jumping rope.

The question states that #1/3# of #3/4# of an hour is spent jumping rope.

To find this fraction, multiply #3/4# by #1/3#.

#3/4*1/3=3/12=1/4#

Another way to look at the question is this:

#3/4=1/4+1/4+1/4#

So one third of #3/4# is #1/4#

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Answer 2

Roman Alvarez

To find the fraction of an hour you spend jumping rope, first, determine the time spent jumping rope, which is $\frac{1}{3}$ of $\frac{3}{4}$ hour.

Multiplying these fractions:

$\frac{1}{3} \times \frac{3}{4} = \frac{1 \times 3}{3 \times 4} = \frac{1}{4}$

So, you spend $\frac{1}{4}$ of an hour, or 15 minutes, jumping rope.

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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.