Converting 50% to Its Equivalent Decimal Form: Basic Mathematics

Question

The percentage 50% is equal to:

00:00 Convert from percentages to fractions

00:05 The percentage equals a fraction where the numerator is the percentage (X) and the denominator is 100

00:10 Apply this formula to our exercise

00:24 Break down 100 into factors of 50 and 2

00:31 Reduce wherever possible

00:36 This is the solution

Let's solve this problem by converting the given percentage into a fraction:

To convert 50% into a fraction, we follow these steps:

Step 1: Recognize that a percentage is simply a way of expressing a number as parts out of 100. So, 50% is equivalent to $\frac{50}{100}$ .
Step 2: Simplify the fraction $\frac{50}{100}$ . The greatest common divisor (GCD) of 50 and 100 is 50. Thus, we divide both the numerator and denominator by 50.
Step 3: Simplifying, we have:

\frac{50}{100} = \frac{50 \div 50}{100 \div 50} = \frac{1}{2}

Thus, the percentage 50% is equal to the fraction $\frac{1}{2}$ .

$\frac{1}{2}$