Question

A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What tion of the jar is filled? Enter your answer in numerical form.

a. 1/8
b. 1/4
c. 3/8
d. 1/2

Answer 1

Two-thirds (2/3) of the jar is filled when Austin empties 1/2 pound of flour into a jar that can hold 3/4 pound. This fraction is not among the provided options, implying a possible error in the question or options.

Step-by-step explanation:

The question asks what fraction of the jar is filled if a jar can hold 3/4 of a pound of flour and Austin empties 1/2 of a pound of flour into it. To find out, we compare the amount of flour Austin puts in to the total capacity of the jar. We divide 1/2 by 3/4, which results in:

1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6 = 2/3

So, two-thirds of the jar is filled with flour. This is not one of the provided options (a. 1/8, b. 1/4, c. 3/8, d. 1/2), which suggests there may have been a misunderstanding. However, these options appear unrelated to the question as none of them correctly depict the fraction 2/3.