Find Male Students: Calculating with 3/7 Female Ratio in 28-Student Class

There are 28 students in a 9th grade class, 37 \frac{3}{7} of whom are female.

How many male students are there in the class?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:07 Let's figure out how many boys are in the class.
00:12 We know the number of girls already.
00:18 Now, subtract this part from the total to find the boys.
00:23 Next, convert it to a proper fraction.
00:29 Find a common denominator.
00:36 This gives us the fraction of boys.
00:41 Multiply this fraction by the total class size.
00:51 Make sure to move the multiplication to the numerator.
00:58 Now, simplify the fraction by dividing the top and bottom.
01:16 Do the multiplication.
01:22 And that's how we solve the problem!

Step-by-step written solution

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1

Understand the problem

There are 28 students in a 9th grade class, 37 \frac{3}{7} of whom are female.

How many male students are there in the class?

2

Step-by-step solution

Let's first split 28 into two fractions:

The first fraction will represent the girls:

37 \frac{3}{7}

The second fraction will represent the boys:

137=7737=47 1-\frac{3}{7}=\frac{7}{7}-\frac{3}{7}=\frac{4}{7}

Now let's multiply the number of students by the fraction that represents the boys:

28×47 28\times\frac{4}{7}

Let's then multiply the numerator by 28:

4×287 \frac{4\times28}{7}

Now we can divide both the numerator and denominator by 7:

4×28:77:7= \frac{4\times28:7}{7:7}=

Finally, let's solve the division exercises in the numerator and denominator to get our answer:

4×41=4×4=16 \frac{4\times4}{1}=4\times4=16

3

Final Answer

16 16

Practice Quiz

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Without calculating, determine whether the quotient in the division exercise is smaller than 1 or not:

\( 2:1 \)

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