A class consists of 2/5 freshmen, 1/4 sophomores, and 1/10 juniors; the rest are seniors. What fraction of the class is seniors?
Please help ASAP!!! :(
Change the fractions to fractions with a common denominator. Add.
I'll be glad to check your answer.
To find the fraction of the class that are seniors, you need to determine the fraction of the class that are not freshmen, sophomores, or juniors, and then subtract that from 1 (since the total fraction of the class must add up to 1).
First, let's calculate the fraction of the class that are freshmen:
2/5
Next, let's calculate the fraction of the class that are sophomores:
1/4
Then, let's calculate the fraction of the class that are juniors:
1/10
To find the fraction of the class that are seniors, we need to subtract the sum of the fractions of the other three grades from 1:
1 - (2/5 + 1/4 + 1/10)
To simplify this, we find a common denominator, which in this case is 20:
1 - (8/20 + 5/20 + 2/20)
Now let's add the fractions to get the result:
1 - (15/20)
1 - 15/20
1 - 3/4
Finally, we subtract 3/4 from 1 to get the fraction of the class that are seniors:
1 - 3/4 = 1/4
Therefore, 1/4 of the class consists of seniors.