The percentage 64% is equal to:
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The percentage 64% is equal to:
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:
Next, we need to simplify the fraction 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:
Thus, 64% can be expressed as the fraction .
Comparing this result to the multiple-choice options given, we see that the correct answer is:
Convert the fraction into a percentage:
\( \frac{24}{100}=\text{?} \)
Fractions should always be in lowest terms (simplest form). This means the numerator and denominator have no common factors other than 1. It makes fractions easier to work with!
List the factors: 64 = 2⁶, 100 = 2² × 5². The greatest common divisor is 2² = 4. You can also use the division method or factor trees.
Yes! 64% = 64 ÷ 100 = 0.64. Both and 0.64 represent the same value, just in different forms.
Start by dividing both numbers by small primes like 2, 3, 5. For 64 and 100: both divide by 2 twice, giving you . Keep going until no common factors remain!
Convert back to decimal: . Then 0.64 × 100 = 64%. If you get the original percentage, you're right!
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