janet spent 1/3 of study time on one subject and 2/7 on another subject. what fraction of her study time remains?
We first need to find the common denominator.
1/3 = 7/21
2/7 = 6/21
7/21 + 6/21 = 13/21
21/21 - 13/21 = 8/21 remaining time
To find the fraction of Janet's study time that remains, you need to subtract the fractions she spent on each subject from 1 (the whole).
First, let's find the common denominator for 1/3 and 2/7. The smallest number that both 3 and 7 divide into evenly is 21.
Next, let's convert the fractions to have the same denominator of 21:
1/3 = 7/21
2/7 = 6/21
Now, we can subtract the fractions from 1:
1 - (7/21 + 6/21)
To add the fractions, we add the numerators and keep the denominator the same:
1 - (13/21)
Now, we subtract the fractions:
(21/21) - (13/21)
To subtract the fractions, we subtract the numerators and keep the denominator the same:
8/21
Therefore, the fraction of Janet's study time that remains is 8/21.