Jeff hiked 2/3 distance from Lookout Point to Eagle Station then stopped for lunch. How far had he hiked?
Lookout Point to Eagle Station: 2 1/10
I got 1 13/30 but it's not an answer choice.
What is (2/3) of (2 1/10) ?
= (2/3)(21/10)
= 7/5 units of distance
or
1.4 units
or
1 2/5 units
To find the distance Jeff hiked, we need to multiply the total distance from Lookout Point to Eagle Station by the fraction representing how far he hiked (2/3).
First, let's convert the mixed number distance from Lookout Point to Eagle Station, which is 2 1/10, into an improper fraction. To do this, we multiply the whole number (2) by the denominator (10) and add the numerator (1), then write the result as the new numerator with the same denominator.
2 1/10 = (2 * 10 + 1) / 10 = 21/10
Now, we can multiply this fraction by 2/3 to find how far Jeff hiked:
(21/10) * (2/3) = (21 * 2) / (10 * 3) = 42/30
So, Jeff hiked a distance of 42/30.
To simplify the answer, we can reduce the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 6 in this case:
42/30 = (42 ÷ 6) / (30 ÷ 6) = 7/5
Therefore, Jeff hiked a distance of 7/5 from Lookout Point to Eagle Station.
Since the answer choice you calculated (1 13/30) is not among the choices, you may need to double-check your calculations or consider rounding to the nearest whole number if the answer choices allow for it.