Which of the following is a true statement, Carolyn spent 3/4 of an hour on her math homework, 5/6 of an hour on history, and 5/12 of an hour on science.
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If it is asking it that particular statement is true or false; it is false
no
To find out which of the statements is true, we need to compare the fractions given indicating the time Carolyn spent on her homework, history, and science.
First, let's convert the fractions to a common denominator. In this case, the least common multiple (LCM) of 4, 6, and 12 is 12.
Converting the fractions to twelfths:
- Carolyn spent 3/4 of an hour on her math homework, which can be converted to 9/12 of an hour.
- Carolyn spent 5/6 of an hour on history, which can be converted to 10/12 of an hour.
- Carolyn spent 5/12 of an hour on science.
The comparisons now become:
- 9/12 of an hour on math homework,
- 10/12 of an hour on history, and
- 5/12 of an hour on science.
From these comparisons, we can see that Carolyn spent the most time on history, a total of 10/12 of an hour. Therefore, the true statement is: Carolyn spent 5/6 of an hour on history.