Francis ran 2 2/5 mile and 7/12 of an hour how many miles can Francis run in one hour?
To find the miles Francis can run in one hour, we need to divide the total distance he ran by the total time he ran.
First, we convert the mixed number 2 2/5 to an improper fraction:
2 2/5 = (5 * 2 + 2)/5 = 12/5
Next, we add the miles Francis ran and the hours he ran:
12/5 miles + 7/12 hour = (12/5)(12/12) miles + (7/12)(5/5) hour = 144/60 + 35/60 = 179/60 miles
Finally, we divide the total distance by the total time to find the speed:
179/60 miles / 1 hour = 179/60 miles/hour
Therefore, Francis can run approximately 2 59/60 miles in one hour.
To find out how many miles Francis can run in one hour, we need to add the distance he ran in 2 2/5 miles and 7/12 of an hour together.
First, we'll convert the mixed number 2 2/5 to an improper fraction.
2 2/5 = (5 * 2 + 2)/5 = 12/5
Next, we'll add the distance and time fractions together:
12/5 miles + 7/12 hours
To add these fractions, we need a common denominator. The smallest number that 5 and 12 both divide into evenly is 60. So, we'll convert both fractions to have a denominator of 60.
12/5 miles = (12/5) * (12/12) = 144/60 miles
7/12 hours = (7/12) * (5/5) = 35/60 hours
Now, we can add the fractions:
144/60 miles + 35/60 hours = (144 + 35)/60 miles
Simplifying the fraction:
179/60 miles
Therefore, Francis can run 179/60 miles in one hour.
To find out how many miles Francis can run in one hour, we need to see how many miles he ran in 7/12 of an hour and then convert that to find the distance he would cover in one full hour.
First, let's calculate the distance Francis ran in 7/12 of an hour. We can add the 2 2/5 mile and 7/12 of an hour together using the common denominator of 12:
2 2/5 + 7/12
To add these fractions, we need to convert the mixed number 2 2/5 to an improper fraction. Multiply the whole number (2) by the denominator (5), which equals 10. Then add the numerator (2) to get 12. So, the improper fraction is 12/5.
Now let's add the fractions:
12/5 + 7/12
To add these fractions, you need a common denominator. In this case, the least common multiple (LCM) of 5 and 12 is 60. So, we need to convert both fractions to have a denominator of 60. Multiply the first fraction by 12/12 and the second fraction by 5/5:
(12/5) * (12/12) + (7/12) * (5/5)
144/60 + 35/60
Now we can add the fractions:
144/60 + 35/60 = 179/60
So, Francis ran a total of 179/60 miles in 7/12 of an hour.
To find out how many miles he can run in one hour, we can set up a proportion:
(179/60 miles) / (7/12 hours) = x miles / 1 hour
To solve for x, we can cross-multiply:
(179/60) * (1 hour) = (7/12) * x miles
Multiply the numerators and denominators:
179/60 = 7x/12
Now we can solve for x by cross-multiplying and dividing:
179 * 12 = 7x * 60
2148 = 420x
Divide both sides by 420:
2148/420 = x
x ≈ 5.114
Therefore, Francis can run approximately 5.114 miles in one hour.