The percentage 58% is equal to:
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The percentage 58% is equal to:
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: We convert 58% to a fraction by expressing it as .
Step 2: Next, we simplify . The greatest common divisor (GCD) of 58 and 100 is 2. Dividing both the numerator and the denominator by 2 gives us:
This is the simplest form.
Step 3: Compare with the choices provided. The correct choice is:
Convert the fraction into a percentage:
\( \frac{2}{100}=\text{?} \)
A fraction is simplified when the GCD of the numerator and denominator is 1. For , since 29 is prime and doesn't divide 50, the GCD is 1.
Try dividing both numbers by small primes like 2, 3, 5. For 58 and 100: both are even, so divide by 2 to get . Since 29 is prime, you're done!
Yes! 58% = 0.58 = . But you'll still need to simplify the fraction, so going directly from percentage often saves a step.
Convert your fraction back to decimal: . If it matches the original percentage, you're correct!
Multiple choice questions require the simplest form. and are equal, but only the simplified version will be among the answer choices.
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