Mathematical Conversion Challenge: Convert 4.8/10 to a Percentage

Question

Convert the fraction into percentage:

4.810=? \frac{4.8}{10}=\text{?}

Video Solution

Solution Steps

00:00 Convert fractions to percentages
00:05 We want to obtain a fraction with a denominator equal to 100
00:10 Therefore we multiply both the numerator and denominator by 10
00:17 Proceed to calculate
00:27 A fraction with denominator equal to 100 equals the numerator in percentage form (X)
00:30 Apply this formula to our exercise
00:34 This is the solution

Step-by-Step Solution

To solve this problem, we'll convert the fraction into a percentage by following these steps:

  • Step 1: Divide the numerator by the denominator. For the fraction 4.810\frac{4.8}{10}, we perform the calculation 4.8÷104.8 \div 10.
  • Step 2: Calculate the decimal result from Step 1. The division yields 0.480.48.
  • Step 3: Convert the decimal to a percentage by multiplying by 100. Thus, 0.48×100=48%.0.48 \times 100 = 48\%.

Now, let's work through each step:
Step 1: The division of the numerator 4.84.8 by the denominator 1010 gives 0.480.48.
Step 2: We take this result and multiply by 100 to convert to a percentage.
Step 3: Multiplying 0.480.48 by 100 results in 48%.48\%.

Therefore, the solution to the problem is 48%.

Answer

48%