Reduce the following fraction:
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Reduce the following fraction:
To reduce , notice that it represents .
The greatest common divisor of 75 and 100 is 25, so divide both the numerator and the denominator by 25.
This reduces the fraction to , which is when expressed as a decimal.
Reduce the following fraction:
\( 0.30 \)
Count the decimal places! 0.75 has 2 decimal places, so use 100 (which is 10²). For 3 decimal places, use 1000, and so on.
Start by dividing both numbers by small primes like 2, 3, 5. For 75 and 100: both divide by 5 to get 15 and 20, then both divide by 5 again to get 3 and 4.
Because is in lowest terms - the GCD of 3 and 4 is 1. When the GCD is 1, you cannot simplify further!
Make sure the numerator and denominator share no common factors except 1. If you can divide both by the same number, it's not fully simplified yet.
Yes, absolutely! Decimals and fractions are just different ways to represent the same number. - they're all equivalent.
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