Question
A student solved this problem and said the answer was [tex]5\frac{1}{4}[/tex] miles. Danielle ran [tex]3\frac{1}{8}[/tex] miles on Tuesday, [tex]4\frac{1}{2}[/tex] miles on Wednesday, and [tex]5\frac{1}{4}[/tex] miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable?
- No, the answer is not reasonable. It should be about 13 miles.
- Yes, the answer is reasonable.
- No, the answer is not reasonable. It should be about 2 miles.
- No, the answer is not reasonable. It should be about 20 miles.
Answer:
- No, the answer is not reasonable. It should be about 13 miles.
Step-by-step explanation:
Given
Student solution = [tex]5\frac{1}{4}[/tex] miles.
Miles covered on Tuesday = [tex]3\frac{1}{8}[/tex] miles
Miles covered on Wednesday = [tex]4\frac{1}{2}[/tex] miles
Miles covered on Thursday = [tex]5\frac{1}{4}[/tex] miles
Required
- Total distance covered by the student
- Is the student answer reasonable?
To calculate the actual distance covered by Danielle, we simply add the distance covered on each day,
This goes thus
Distance = [tex]3\frac{1}{8}[/tex] + [tex]4\frac{1}{2}[/tex] + [tex]5\frac{1}{4}[/tex]
Convert to Improper Fractions
Distance = [tex]\frac{25}{8}[/tex] + [tex]\frac{9}{2}[/tex] + [tex]\frac{21}{4}[/tex]
Take LCM
Distance = [tex]\frac{25 + 36 + 42}{8}[/tex]
Distance = [tex]\frac{103}{8}[/tex]
Distance = 12.875
From the calculations above, we can conclude that the student's answe is not reasonable because his calculation ([tex]5\frac{1}{4}[/tex] miles) is much more smaller than the actual result 12.875 miles
From option A through D, Only option A is correct because 12.875 miles cam be approximated to 13 miles.
Hence,
A. - No, the answer is not reasonable. It should be about 13 miles.
is the right answer
