Debra has two-thirds of a pound of loose green tea leaves. If she wants to keep one-half of the tea at home and the other half at work, what fraction of a pound will she have at work?
(1 point)
Responses
start fraction 1 over 6 end fraction
Image with alt text: start fraction 1 over 6 end fraction
one-fourth
Image with alt text: one-fourth
one-third
Image with alt text: one-third
one-half
To find the fraction of a pound that Debra will have at work, we need to multiply two-thirds by one-half.
Two-thirds times one-half is equal to two-sixths.
Therefore, Debra will have two-sixths or one-third of a pound of loose green tea leaves at work.
The correct answer is one-third.
To find out what fraction of a pound Debra will have at work, we need to divide the amount of tea she wants to keep at work by the total amount of tea she has.
Debra wants to keep one-half of the tea at work, and she has two-thirds of a pound of loose green tea leaves.
So, we can calculate the fraction of a pound she will have at work as follows:
Start fraction 1/2 end fraction × start fraction 2/3 end fraction.
This simplifies to:
Start fraction 1/2 × 2/3 end fraction.
Multiplying the numerators gives us:
Start fraction 1 × 2 end fraction.
And multiplying the denominators gives us:
Start fraction 2 × 3 end fraction.
Calculating the results gives us:
Start fraction 2/6 end fraction.
Simplifying this fraction gives us:
Start fraction 1/3 end fraction.
Therefore, Debra will have one-third of a pound of loose green tea leaves at work.