Converting 30% to Its Mathematical Equivalent: Percentage Practice

Question

The percentage 30% 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

00:25 Factor 30 into 3 and 10, and 100 into 10 and 10

00:28 Reduce wherever possible

00:33 This is the solution

To solve the problem of converting 30% to its equivalent fraction, follow these steps:

$30\% = \frac{30}{100}$

Step 2: Simplify the fraction. Find the greatest common divisor (GCD) of 30 and 100.

Both 30 and 100 are divisible by 10. Divide the numerator and denominator by 10:

$\frac{30 \div 10}{100 \div 10} = \frac{3}{10}$

Therefore, the percentage 30% is equivalent to the fraction $\frac{3}{10}$ .

$\frac{3}{10}$