In a secondary school there are 40 classes altogether 8 of the classes are year 7 classes what fraction of the classes in the school are year 7 give your answer in simplest form
Answers
The correct representation of the question is : In a secondary school, there are 40 classes altogether. 8 of the classes are year 7 classes. What fraction of the classes in the school are year 7 ? Give your answer in simplest form.
Given :
Number of classes in a secondary school = 40
Number of year 7 classes in the school = 8
To find :
The simplest fraction of year 7 classes in the school.
Solution :
• Let us first understand what a fraction is. A fraction is the representation of a number in equal parts with respect to the whole number, written in the form of a / b, where a < b, and a is called the numerator and b is called the denominator.
• As said in the question, 8 out 40 classes are 7 year classes. This implies that if each class is taken as an equal part, then 8 parts of 40 parts are seven year classes.
• Therefore, the fractional representation of the given information is 8 / 40.
• Now, we see that the numerator 8 and the denominator 40 are both divisible by 8.
• Dividing 8 by 8 results to 1 and dividing 40 by 8 results to 5.
• Therefore, the fraction 8 / 40 is now reduced to 1 / 5, and cannot be reduced further.
• Thus, the simplest form of the fraction of year 7 classes in the school is 1 / 5.
Answer:1/5
Step-by-step explanation: