johnny is jogging along a track. He has already jogged 1 2/3 miles. He plans to jog a total of 3/14 miles. How many miles does he have left to jog?
See my last two answers about adding and subtracting fractions.
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To find out how many miles Johnny has left to jog, we need to subtract the distance he has already jogged from his total planned distance.
Johnny has already jogged 1 2/3 miles, which can also be written as 5/3 miles.
His total planned distance is 3/14 miles.
To find out how many miles he has left to jog, we subtract the distance jogged from the total planned distance:
Total planned distance - Distance already jogged = Distance left to jog
(3/14) - (5/3) = ?
To subtract fractions, we need a common denominator. The least common denominator for 14 and 3 is 42.
First, we convert 3 to a fraction with a denominator of 42:
3 = 3/1 = (3/1) * (42/42) = 126/42
Now we can subtract:
(3/14) - (126/42) = ?
To subtract fractions with the same denominator, we subtract their numerators:
(3 - 126) / 42 = (-123) / 42
The fraction -123/42 is an improper fraction. To simplify it, we find the greatest common divisor (GCD) of the numerator and the denominator, which is 3 in this case:
(-123/3) / (42/3) = -41/14
Therefore, Johnny has -41/14 miles left to jog.
Please note that a negative distance does not make sense in this context. It is likely there was an error in the problem statement or the calculations.