Calculate 3/7 of 28: Finding Female Students in a Class

In a ninth grade class, there are 28 students, 37 \frac{3}{7} of whom are female.

How many females are in the class?

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Step-by-step video solution

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00:00 How many girls are in the class?
00:03 The given ratio of girls
00:07 Multiply this ratio by total students to find number of girls
00:11 Break down 28 into factors 7 and 4
00:25 Reduce what's possible
00:28 Calculate the multiplication
00:32 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

In a ninth grade class, there are 28 students, 37 \frac{3}{7} of whom are female.

How many females are in the class?

2

Step-by-step solution

Let's write the following exercise, we'll multiply the fraction by the number of students:

37×28 \frac{3}{7}\times28

Let's multiply the numerator by 28:

3×287 \frac{3\times28}{7}

Let's solve the exercise in the numerator, we'll break down 28 into a smaller multiplication exercise:

3×7×47= \frac{3\times7\times4}{7}=

Let's reduce the 7 in the numerator and denominator of the fraction and we'll get:

3×4=12 3\times4=12

3

Final Answer

12 12

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