Respuesta :
Answer:
1.25 miles.
Step-by-step explanation:
Let x be the length of trail. We have been given that after Paul hiked [tex]\frac{5}{6}[/tex] of a mile, he was [tex]\frac{5}{6}[/tex] of the way along the trail.
Let need to find x such that [tex]\frac{2}{3}[/tex] of x equals [tex]\frac{5}{6}[/tex].
[tex]\frac{2}{3} x=\frac{5}{6}[/tex]
[tex]x=\frac{5}{6}\times \frac{3}{2}[/tex]
[tex]x=\frac{5}{2}\times\frac{1}{2}[/tex]
[tex]x=\frac{5}{2\times 2}[/tex]
[tex]x=\frac{5}{4}[/tex]
[tex]x=1\frac{1}{4}=1.25[/tex]
Therefore, the trail is 1.25 miles long.
Answer:
1 1/4 miles
Step-by-step explanation:
If your teacher prefers fraction this is the answer:
so if you have two parts and there are 5/6 miles in total of the two parts.
5/6 divided by two
There are 5/6 in each 1/3 because he was 2/3 of the way along the trail.
5/6 x 3= 1 1/4 miles
The trail is 1 1/4 miles long.
