50 student in school. 1 \ 10 of them are sick and at home. And 2 \ 3 of them are a field trip. How many of them are at school (fraction)
(1/10) * 50 = 50/10 = 5 at home
(2/3) * 45 = 90/3 = 30 on field trip
50 - 35 = ?
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To find the fraction of students who are at school, we need to subtract the fractions of sick and field trip students from the total number of students.
First, let's find the fraction of sick students. We know that 1 out of 10 students are sick, so the fraction of sick students is 1/10.
Next, let's find the fraction of students on a field trip. We are told that 2 out of 3 students are on a field trip, so the fraction of students on the field trip is 2/3.
To find the fraction of students at school, we subtract the fractions of sick and field trip students from 1 (since 1 represents the whole or the total number of students).
Fraction of students at school = 1 - (fraction of sick students + fraction of field trip students)
Fraction of students at school = 1 - (1/10 + 2/3)
To add the fractions, we need a common denominator. The least common multiple (LCM) of 10 and 3 is 30. So, we rewrite the fractions with a common denominator:
Fraction of students at school = 1 - (3/30 + 20/30)
Fraction of students at school = 1 - (23/30)
To subtract the fractions, we need a common denominator:
Fraction of students at school = (30/30) - (23/30)
Fraction of students at school = 7/30
Therefore, the fraction of students at school is 7/30.