Alexia ran three laps around her neighborhood. Each lap is 1 and StartFraction 3 over 8 EndFraction miles. Which is the best estimate of the number of miles that Alexia ran?
2 miles
3 and one-half miles
4 and one-half miles
6 miles

Respuesta :

Answer:

4 and one-half miles

Step-by-step explanation:

The answer closest to the correct answer is 4 and one-half miles.

To get the answer, you multiply 3 times the length of one lap which is 1 and [tex]\frac{3}{8}[/tex] miles.  To multiply the fraction, you take 3 times the top number in the fraction.  So 3 x 1 [tex]\frac{3}{8}[/tex] = 3 [tex]\frac{9}{8}[/tex].  The fraction can actually be reduced to 1 and [tex]\frac{1}{8}[/tex] miles.  So you're total correct answer is 4 and [tex]\frac{1}{8}[/tex] miles.

The second selection is 3 and [tex]\frac{1}{2}[/tex] which can also be written as 3 and [tex]\frac{4}{8}[/tex] to make it easier to determine which answer is correct.  The second answer is therefore [tex]\frac{5}{8}[/tex] shorter than the correct answer.

The third selection is 4 and [tex]\frac{1}{2}[/tex] which can be written as 4 and [tex]\frac{4}{8}[/tex] so it is only [tex]\frac{3}{8}[/tex] longer than the correct answer.  So this selection is the closest to the actual miles ran.