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

Question

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?

Video Solution

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

Answer

16 16