Understanding Ratios and Simplification

The video tutorial explains how to determine the number of female students in a school with 6,525 students, given that nine out of fifteen students are female. It covers the concept of ratios, simplifying fractions, and using prime factorization to make calculations easier. The final calculation shows that there are 3,915 female students in the school.

What is the total number of students in the school?

• 6,725

• 6,525

• 7,525

• 5,625

What is the ratio of female students to total students?

• 15:9

• 9:15

• 9:10

• 6:15

How can the ratio 9:15 be expressed as a fraction?

• 9/15

• 15/9

• 9/10

• 10/15

What is the prime factorization of the number 9?

• 3 x 2

• 3 x 3

• 2 x 4

• 5 x 1

What is the prime factorization of the number 15?

• 3 x 3

• 5 x 2

• 2 x 7

• 3 x 5

What is the simplified form of the fraction 9/15?

• 3/5

• 2/5

• 1/5

• 5/3

What is the result of dividing 6,525 by 5?

• 1,305

• 1,625

• 1,205

• 1,405

What is the final multiplication needed to find the number of female students?

• 5 x 1,205

• 3 x 1,625

• 5 x 1,305

• 3 x 1,305

How many female students are there in the school?

• 3,815

• 4,015

• 3,715

• 3,915