Convert 56% to Its Decimal Form: Percentage Conversion Practice

Question

The percentage 56% 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

00:29 Break down 56 into factors of 4 and 14, and 100 into factors of 25 and 4

00:33 Reduce wherever possible

00:38 This is the solution

To convert 56% into a fraction, follow these steps:

Step 1: Write the percentage as a fraction with 100 as the denominator. This means 56% becomes $\frac{56}{100}$ .
Step 2: Simplify the fraction $\frac{56}{100}$ . To do this, find the greatest common divisor (GCD) of 56 and 100. The GCD of 56 and 100 is 4.
Step 3: Divide both the numerator and the denominator by their GCD. So, $\frac{56 \div 4}{100 \div 4} = \frac{14}{25}$ .

Now we have simplified the fraction to its simplest form.

Therefore, the percentage 56% is equal to $\frac{14}{25}$ .

$\frac{14}{25}$