5/6 hours -----> 1/40 mile
(6/5)(5/6) hours ---- (1/40)(6/5) mile
1 hour -----> 6/200 miles or 3/100 of a mile
is it 1.5/40 in 1 hour idk I am so confused :(
(6/5)(5/6) hours ---- (1/40)(6/5) mile
1 hour -----> 6/200 miles or 3/100 of a mile
First, we know that the snail moves 1/40 of a mile in 5/6 of an hour. To calculate how far it moves in 5/6 of an hour, we can divide 1/40 by 5/6:
(1/40) / (5/6) = (1/40) * (6/5)
To multiply fractions, we multiply the numerators (top numbers) and the denominators (bottom numbers):
(1 * 6) / (40 * 5) = 6/200
Simplifying the fraction by dividing the numerator and denominator by their greatest common divisor (2), we have:
6/200 = 3/100
So, the snail moves 3/100 (or 0.03) of a mile in 5/6 of an hour.
Now, to find out how far the snail moves in one hour, we need to calculate the distance covered in 5/6 of an hour and then scale it up to the duration of one hour. Since one hour is equal to 6/6 (or the whole), we can use a proportion to determine the distance covered in one hour.
Let x represent the distance covered in one hour. We can set up the proportion:
(3/100) / (5/6) = x / 1
To solve for x, we can cross-multiply:
(3/100) * 1 = (5/6) * x
3/100 = 5x/6
To isolate x, we'll multiply both sides of the equation by (6/5):
(6/5) * (3/100) = x
(18/500) = x
Now, simplifying the fraction, we find:
x = 9/250
Therefore, the snail would move 9/250 (or approximately 0.036) of a mile in one hour.