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?

Question

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?

Skylar Adams · Accepted Answer

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#

Roman Alvarez · Answer

undefined 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.

HIX Tutor · Answer

undefined Great question! Let's break it down step by step.

1. **Find the time spent exercising:** You exercise for $ \frac{3}{4} $ of an hour.

2. **Find the time spent jumping rope:** You jump rope for $ \frac{1}{3} $ of that time.

3. **Calculate the time:** To find the time spent jumping rope, multiply:
   $$
   \frac{1}{3} \times \frac{3}{4}
   $$

4. **Multiply the fractions:** First, multiply the top numbers:
   $$
   1 \times 3 = 3
   $$
   Then, multiply the bottom numbers:
   $$
   3 \times 4 = 12
   $$
   So, 
   $$
   \frac{1}{3} \times \frac{3}{4} = \frac{3}{12}
   $$

5. **Simplify the fraction:** Now, simplify $ \frac{3}{12} $:
   - Both 3 and 12 can be divided by 3.
   - $ \frac{3 \div 3}{12 \div 3} = \frac{1}{4} $

6. **Final answer:** You spend $ \frac{1}{4} $ of the hour jumping rope.

Does that make sense? What do you think about it?