Ramundus is making a xylophone. So far, he has bars that are 1 3/4 feet 1 7/12 feet and 1 2/3 feet long. What is the length of the longest bar
3/4?
Alana practiced dancing for 11/4 hours on Monday 19/8 hours on Wednesday and 2 3/5 hours on Friday. On which day did she practice on the closest to 2 hours? Explain your reasoning/
Im not sure for this one
For 2 3/5 how did you get the answer 2 24/40 since it already has the whole number on 2 3/5. Do you put the whole number when you divide?
Yes. I changed 3/5 to 24/40 so the fractions would have a common denominator.
So is the answer 11/4
No. Please reread the question.
How can I find out which fraction is the closest to 2 hours?
All of those numbers are over two hours. Which has the smallest fraction?
3/8?
Right.
To find the length of the longest bar, we need to compare the lengths of the three bars. Since the bars are given in mixed fraction form, we need to convert them into improper fractions for easier comparison.
The first bar is 1 3/4 feet. To convert it into an improper fraction, we multiply the whole number (1) by the denominator (4), and add the numerator (3). This gives us (1 * 4 + 3) / 4 = 7/4.
The second bar is 1 7/12 feet. To convert it into an improper fraction, we multiply the whole number (1) by the denominator (12), and add the numerator (7). This gives us (1 * 12 + 7) / 12 = 19/12.
The third bar is 1 2/3 feet. To convert it into an improper fraction, we multiply the whole number (1) by the denominator (3) and add the numerator (2). This gives us (1 * 3 + 2) / 3 = 5/3.
Now, we can compare the three fractions. We can find the common denominator of 4, 12, and 3, which is 12.
The first bar is 7/4, which is equivalent to (7/4) * (3/3) = 21/12.
The second bar is 19/12.
The third bar is 5/3, which is equivalent to (5/3) * (4/4) = 20/12.
So, the longest bar is the second bar, which has a length of 19/12 feet.
11/4 = 2 3/4 = 2 30/40
19/8 = 2 3/8 = 2 15/40
2 3/5 = 2 24/40