Converting 64% to Its Decimal and Fractional Equivalents

Question

The percentage 64% 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
00:28 Factor 64 into 4 and 16, and 100 into 25 and 4
00:34 Reduce wherever possible
00:41 This is the solution

Step-by-Step Solution

We are given the percentage 64% and need to express it as a fraction.

First, recall that a percentage is simply a fraction with a denominator of 100. Therefore, we can write 64% as:

64100 \frac{64}{100}

Next, we need to simplify the fraction 64100 \frac{64}{100} to its lowest terms. To do this, we find the greatest common divisor (GCD) of 64 and 100. The GCD of 64 and 100 is 4.

Divide both the numerator and the denominator by their GCD:

64÷4100÷4=1625 \frac{64 \div 4}{100 \div 4} = \frac{16}{25}

Thus, 64% can be expressed as the fraction 1625 \frac{16}{25} .

Comparing this result to the multiple-choice options given, we see that the correct answer is:

1625 \frac{16}{25}

Answer

1625 \frac{16}{25}