if 1/3 of homework is done before dinner, and 3/5 after dinner. What fraction of homework remains?
1/3 = 5/15
3/5 = 9/15
15/15 - (5/15 + 9/15) = ?
To find the fraction of homework that remains, we need to subtract the fractions of homework that have already been done from the total fraction of homework.
Let's first add the fractions of homework that have been done before and after dinner:
1/3 + 3/5
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 5 is 15.
Now we can rewrite the fractions with the common denominator of 15:
(1/3) * (5/5) + (3/5) * (3/3)
= 5/15 + 9/15
= 14/15
So, a total of 14/15 of the homework has been done.
To find the fraction of homework that remains, we subtract this total from 1, the whole fraction:
1 - 14/15
= 15/15 - 14/15
= 1/15
Therefore, 1/15 of the homework remains to be done.