Question

Lucas took his bike to a local park to ride on some bike trail.Trail A is 6 3/4 miles long.Trail B is 8 1/2 miles long. How many miles long is Trail B then Trail A

Answer 1

Answer: Trial B is $1\dfrac{3}{4}$ miles longer then Trail A.

Step-by-step explanation:

Length of Trail A = $6\dfrac34$ miles

= $\dfrac{24+3}{4}$  miles = $\dfrac{27}{4}$ miles.

Length of Trail B = $8\dfrac12$ miles

= $\dfrac{16+1}{2}$ miles = $\dfrac{17}{2}$ miles.

Trial B is longer then Trail A by $\dfrac{17}{2}-\dfrac{27}{4}$ miles

$=\dfrac{17\times2}{2\times2}-\dfrac{27}{4}$ miles

$=\dfrac{34}{4}-\dfrac{27}{4}$ miles

$=\dfrac{7}{4}$ miles

$=1\dfrac{3}{4}$ miles

Hence, Trial B is $1\dfrac{3}{4}$ miles longer then Trail A.