Question

A car travels
1/6
of the distance between two cities in
3/5
of an hour. At this rate, what fraction of the distance between the two cities can the car travel in 1 hour?

Enter your fraction in the space provided.
/

Answer 1

@phi

Answer 2

I would use ratios.
distance/ time = distance / time

Answer 3

so then 1/6 / 3/5 = 3/5 / 1/6

Answer 4

Right @phi?

Answer 5

ok on the "left side"
on the right side we have "unknown distance" over 1 hour of time
so
\[ \frac{ \frac{1}{6}}{\frac{3}{5}} = \frac{x}{1}\]

Answer 6

so then...

Answer 7

x is the unknown distance

x/1 is just x
to simplify. multiply the top and bottom of the "ugly fraction" by 5/3

Answer 8

x/1 * 5/3?

Answer 9

5x/3

Answer 10

you could "cross multiply" (maybe that is what you are trying to do ?)

but we want x by itself..

\[ \frac{ \frac{1}{6}}{\frac{3}{5}} = \frac{x}{1} \\
\frac{ \frac{1}{6}\cdot \frac{5}{3}}{\frac{3}{5}\cdot \frac{5}{3}} = x
\]

Answer 11

notice that 3/5 * 5/3 is 1
and 1 in the denominator means we can ignore it.

Answer 12

5/18 / 15/15

Answer 13

15/15 = 1
when you divide by 1, you can ignore it , right ?

Answer 14

yes

Answer 15

so that simplifies to 5/18

Answer 16

so then that's the answer??

Answer 17

yes.
if we go back to the original ratio, we are saying
\[ \frac{ \frac{1}{6}}{\frac{3}{5}} = \frac{\frac{5}{18}}{1} \]

in other words: if we go 1/6 of the way in 3/5 of an hour, then we go 5/18 of the way in 1 hour

Answer 18

ok, thx!!!!!!!!!!!!!!!

Answer 19

can u help with another one?

Answer 20

last one

Answer 21

ok :D

Answer 22

:3 77777jeannie77777 how did u like flvs?