Converting 128% to Its Decimal Form: Percentage Mathematics

Question

The percentage 128% is equal to:

Video Solution

Solution Steps

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
00:30 Break down 128 into factors of 32 and 4, and 100 into factors of 25 and 4
00:35 Reduce wherever possible
00:40 This is the solution

Step-by-Step Solution

To convert the percentage 128% to a fraction, we begin by expressing 128% as a fraction over 100:

128%=128100 128\% = \frac{128}{100}

Next, we simplify the fraction 128100 \frac{128}{100} . We do this by finding the greatest common divisor (GCD) of 128 and 100. The GCD of 128 and 100 is 4.

We divide both the numerator and the denominator by their GCD:

128÷4100÷4=3225 \frac{128 \div 4}{100 \div 4} = \frac{32}{25}

Therefore, 128% is equal to the fraction 3225 \frac{32}{25} .

Thus, in the context of the provided multiple-choice answers, the correct choice is 3225 \frac{32}{25} , which corresponds to choice 3.

The simplified fraction representation of 128% is 3225 \frac{32}{25} .

Answer

3225 \frac{32}{25}