It takes Kasey 1 2/3 hours to bike the Woodlawn Trail. It takes her 3 5/6 hours to bike the Hammerside Trail. How many times as long does it take Kasey to bike the Hammerside Trail than the Woodlawn Trail ?
please show the work too .
Thank you
It takes Kasey 1 2/3 hours to bike the Woodlawn Trail. It takes her 3 5/6 hours to bike the Hammerside Trail. How many times as long does it take Kasey to bike the Hammerside Trail than the Woodlawn Trail ?
A. 2 1/6
B. 2 3/10
C. 2 1/3
D. 5 1/2
please show the work too .
Which of those answers equal 2.3?
2 3/10
To find out how many times longer it takes Kasey to bike the Hammerside Trail than the Woodlawn Trail, we need to compare the times it takes for each trail.
First, let's find the time it takes for Kasey to bike the Woodlawn Trail in hours. We are given that it takes 1 2/3 hours, which can also be written as a mixed fraction: 1 + 2/3 = 3/3 + 2/3 = 5/3 hours.
Next, let's find the time it takes for Kasey to bike the Hammerside Trail in hours. We are given that it takes 3 5/6 hours, which can be written as a mixed fraction: 3 + 5/6 = 18/6 + 5/6 = 23/6 hours.
To compare the two times, we will divide the time for the Hammerside Trail by the time for the Woodlawn Trail:
(23/6) / (5/3)
To divide fractions, we multiply by the reciprocal of the second fraction:
(23/6) * (3/5)
Multiplying numerators and denominators gives us:
(23 * 3) / (6 * 5) = 69/30
Now, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3:
(69/3) / (30/3) = 23/10
Therefore, it takes Kasey 23/10 times longer to bike the Hammerside Trail than the Woodlawn Trail.
To convert this fraction to a mixed number, we divide the numerator (23) by the denominator (10):
23 ÷ 10 = 2 remainder 3
The mixed number is 2 3/10.
So, it takes Kasey 2 3/10 times longer to bike the Hammerside Trail than the Woodlawn Trail.