Margie hiked a 17 7/8 mile trail.She stopped every 3 2/5 miles to take a picture.Which is the best estimate of the number of times she stopped ? A 4. B 6. C 7. D 8.

Respuesta :

17 7/8÷3 2/5
143/8÷17/5
multiply by reciprocal
143/8×5/17= 715/136= 5.26 which is closer to
B. 6

Answer:

Option B is the correct answer

Step-by-step explanation:

Margie hiked a 17 7/8 mile trail.

[tex]\texttt{Distance hiked by Margie = }17\frac{7}{8}=\frac{17\times 8+7}{8}=\frac{143}{8}mile[/tex]

She stopped every 3 2/5 miles to take a picture.

[tex]\texttt{Distance at which she stopped to take picture = }3\frac{2}{5}=\frac{3\times 5+2}{5}=\frac{17}{5}mile[/tex]

[tex]\texttt{Number of pictures taken = }\frac{\texttt{Distance hiked by Margie}}{\texttt{Distance at which she stopped to take picture}}\\\\\texttt{Number of pictures taken = }\frac{\frac{143}{8}}{\frac{17}{5}}=\frac{715}{136}=5.28[/tex]

So she can take maximum of 6 picture and minimum of 5 picture.

Option B is the correct answer