Convert 5.2 Out of 10 into a Percentage: A Step-by-Step Guide

Question

Convert the following fraction into a percentage:

5.210=? \frac{5.2}{10}=\text{?}

Video Solution

Solution Steps

00:00 Convert fractions to percentages
00:05 A fraction with a denominator equal to 100 equals the numerator in percentage form (X)
00:12 Apply this formula to our exercise
00:17 Multiply both the numerator and denominator by 10 to obtain a denominator equal to 100
00:32 Proceed to calculate
00:42 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given fraction 5.210\frac{5.2}{10}.
  • Step 2: Apply the formula for converting a fraction to a percentage.
  • Step 3: Perform the necessary calculation to find the percentage.

Now, let's work through each step:

Step 1: The problem gives us the fraction 5.210\frac{5.2}{10}.

Step 2: We use the conversion formula:

Percentage=(5.210)×100% \text{Percentage} = \left(\frac{5.2}{10}\right) \times 100\%

Step 3: Plugging in our values, we multiply:

(5.210)×100=0.52×100=52 \left(\frac{5.2}{10}\right) \times 100 = 0.52 \times 100 = 52

Therefore, the fraction 5.210\frac{5.2}{10} is equivalent to 52%52\%.

This corresponds to choice 3, which is 52%.

Answer

52%