Johnny is jogging along a track. He has already jogged 1 2/3 miles. He plans to jog a total of 3 1/4 miles. How many miles does he have left to jog?
1 7/12
1 2/3 = 1 8/12
3 1/4 = 3 3/12 = 2 15/12
2 15/12 - 1 8/12 = ?
To find out how many miles Johnny has left to jog, we need to subtract the distance he has already jogged from the total distance he plans to jog.
Johnny has already jogged 1 2/3 miles, which can be rewritten as an improper fraction: 1 2/3 = (1 * 3 + 2) / 3 = 5/3 miles.
The total distance Johnny plans to jog is 3 1/4 miles, which can be rewritten as an improper fraction: 3 1/4 = (3 * 4 + 1) / 4 = 13/4 miles.
To find out how many miles Johnny has left to jog, we subtract 5/3 miles from 13/4 miles:
13/4 - 5/3
To subtract fractions, we need to find a common denominator:
The least common multiple (LCM) of 3 and 4 is 12.
Convert both fractions to have a denominator of 12:
(13/4) * (3/3) = 39/12
(5/3) * (4/4) = 20/12
Subtracting the fractions now:
39/12 - 20/12 = 19/12
Therefore, Johnny has 19/12 miles left to jog.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 1:
(19/1) / (12/1) = 19/12
Hence, Johnny has 19/12 miles left to jog.
To find out how many miles Johnny has left to jog, you can subtract the distance he has already jogged from the total distance he plans to jog.
First, let's convert the mixed numbers to improper fractions to make the subtraction easier.
To convert 1 2/3 to an improper fraction:
1 * 3 = 3
3 + 2 = 5
5/3
To convert 3 1/4 to an improper fraction:
3 * 4 = 12
12 + 1 = 13
13/4
Now that we have the improper fractions, we can subtract them.
13/4 - 5/3
To subtract fractions, we need a common denominator. The common multiple of 4 and 3 is 12.
13/4 = (13/4) * (3/3) = 39/12
5/3 = (5/3) * (4/4) = 20/12
Now we can subtract the fractions:
39/12 - 20/12 = (39 - 20)/12 = 19/12
So Johnny has 19/12 miles left to jog.
If you prefer a mixed number as the final answer, you can divide the numerator by the denominator and write the remainder as a fraction:
19 รท 12 = 1 remainder 7
So, Johnny has 1 7/12 miles left to jog.