Convert the Fraction 20/40 to a Percentage

Video Solution

Solution Steps

00:00 Convert fractions to percentages

00:05 Apply the formula to convert fractions to percentages

00:15 We want the denominator to equal 100

00:27 Divide the desired denominator by our current denominator in order to determine the ratio

00:31 The ratio is the number we multiply both the numerator and denominator by

00:39 This is the final fraction and its corresponding percentage

00:46 This is the solution

Step-by-Step Solution

To convert the fraction $\frac{20}{40}$ into a percentage, we'll follow these steps:

Step 1: Simplifying the fraction $\frac{20}{40}$ , we divide both the numerator and the denominator by their greatest common divisor, which is 20:

$\frac{20 \div 20}{40 \div 20} = \frac{1}{2}$

Step 2: To convert $\frac{1}{2}$ into a percentage, we multiply by 100:

$\frac{1}{2} \times 100 = 50\%$

Therefore, the fraction $\frac{20}{40}$ is equivalent to 50%.