A Ferry carries passengers, a distance of three 5/8 miles across a river the ferry made 33 trips across the river in one day
Which of the following is true
A. The ferry traveled 119 5/8 total miles in one day
B. The ferry traveled 23 14/41 total miles in one day
C.the ferry traveled 5 27/41 total miles in one day
D. The ferry traveled 7 1/33 total miles in one day
To find the total distance traveled by the ferry in one day, we need to multiply the distance of one trip by the number of trips made.
The distance of one trip is 3 5/8 miles.
If we convert the mixed number 3 5/8 to an improper fraction, it becomes 29/8.
So, the distance of one trip is 29/8 miles.
To find the total distance traveled, we multiply the distance per trip (29/8 miles) by the number of trips (33).
Therefore, the total distance traveled by the ferry in one day is (29/8) * 33.
To simplify the multiplication, we can first multiply the whole numbers:
33 * 29 = 957.
The product of the whole numbers is 957.
To multiply the fractions, we multiply the numerators together and the denominators together:
8 * 33 = 264.
So, (29/8) * 33 = 957/264.
To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and denominator, and divide both by it:
GCD(957, 264) = 3.
957/3 = 319,
264/3 = 88.
So, (29/8) * 33 = 319/88.
The fraction 319/88 cannot be simplified any further.
Therefore, the total distance traveled by the ferry in one day is 319/88 miles.
The closest answer choice to 319/88 is:
C. The ferry traveled 5 27/41 total miles in one day.
To find the total distance traveled by the ferry in one day, we need to multiply the distance of one trip by the number of trips made.
The distance of one trip is 3 5/8 miles.
To multiply a mixed number by a whole number, we first convert the mixed number to an improper fraction:
3 5/8 = (3 * 8 + 5) / 8 = 29/8
Now we can multiply the improper fraction by the number of trips:
29/8 * 33 = (29 * 33) / 8 = 957/8 = 119 5/8
Therefore, the correct answer is A. The ferry traveled 119 5/8 total miles in one day.
To find the total distance traveled by the ferry in one day, we can multiply the distance of each trip by the number of trips made.
First, let's calculate the distance of one trip:
The distance of one trip is given as three 5/8 miles.
To represent three 5/8 as an improper fraction, we multiply the whole number (3) by the denominator (8) and add the numerator (5) to get: (3 * 8) + 5 = 24 + 5 = 29/8 miles.
Now that we have the distance of one trip as 29/8 miles, we can multiply this by the number of trips made (33) to find the total distance traveled:
(29/8) * 33 = (29 * 33)/(8 * 1) = 957/8 miles.
To simplify the fraction, we divide the numerator (957) by the denominator (8):
957 ÷ 8 = 119 remainder 5.
Therefore, the total distance traveled by the ferry in one day is 119 5/8 miles.
So, the correct option is A. The ferry traveled 119 5/8 total miles in one day.