Calculate 50% of 48: Finding Successful Students in Math Test

50% of the 48 students in an eighth grade class were successful on their math test. How many students were successful?

Video Solution

Solution Steps

00:00 Determine the number of students who passed their maths test

00:05 The total number of students according to the data

00:15 The percentage of students who passed according to the data

00:25 Convert from a percentage to a fraction

00:29 We'll use the formula to convert the given data from a percentage to a fraction

00:35 Apply the formula to our exercise

00:45 Break down 100 into factors of 2 and 50

00:50 Reduce wherever possible

00:53 This is the percentage now represented in fraction form

00:58 Multiply the fraction by the total number of students in order to determine the total number of students who passed

01:12 This is the solution

Step-by-Step Solution

To solve the problem of finding the number of successful students, we need to follow these steps:

Step 1: Understand that 50% of 48 students were successful.
Step 2: Convert the percentage into a decimal or fraction. Since 50% is equivalent to $\frac{50}{100}$ , we simplify it to $\frac{1}{2}$ .
Step 3: Apply the percentage formula by calculating $\frac{1}{2} \times 48$ .

Now, let's calculate:

$\frac{1}{2} \times 48 = 24$

This calculation shows that 24 students were successful in the math test.

Therefore, the solution to the problem is $24$ .