Tutor profile: Abby D.

Which fraction does not mean the same thing as 4/24? A. 2/12 B. 8/12 C. 1/6

The correct answer is "B." To keep from changing the value of the fraction, you must always do to the top what you do to the bottom and the same goes for the other way around. If you divide the bottom by 2, you must do the same to the top. If you multiply the top by 2, you must do the same to the bottom. "B." multiplied the top by 2 and divided the bottom by 2. This creates an entirely different number.

What does 3/4 time mean? How is it different from 6/8 time?

3/4 time means that there are 3 beats to a measure, which is represented by the top number. The bottom number, the 4, means that a quarter note represents a whole beat. 6/8 time means there are 6 beats to a measure with the eighth note representing a whole beat. This can be confusing since time signatures look like fractions, and 3/4 is the simplified version of 6/8.

Which example is a run-on sentence? Why? A. Cathy went to the store and bought some peaches. B. Sam went for a run, and Max rode his bike. C. Hannah baked some cookies but she wouldn't let Sarah have any.

"C." is the correct answer. "Hannah baked some cookies" and "she wouldn't let Sarah have any" are two complete sentences. A comma is needed after "cookies" because "but" is not strong enough to combine the two sentences by itself. "A." is not the correct answer because "Cathy went to the store" is a complete sentence, but "bough some peaches" is a dependent clause; therefore, a common is not needed. "B." is not the correct answer because there are two complete sentences that are appropriately separated by a common and a conjunction.