Reduce the following decimal:
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Reduce the following decimal:
To reduce the decimal , observe that is already a properly expressed finite decimal fraction. Reducing would imply expressing it in another form but since cannot be simplified further while maintaining its value, it's already in its simplest form. The fraction remains .
Reduce the following fraction:
\( 0.30 \)
Count the decimal places! Since 0.375 has 3 decimal places, write it as (1 followed by 3 zeros).
Start by dividing both numbers by small primes like 2, 3, 5. For 375 and 1000, both divide by 5 repeatedly:
The fraction is fully simplified when the numerator and denominator share no common factors except 1. Try dividing both by 2, 3, 5, etc.
Yes! Divide the numerator by denominator: . If you get the original decimal, your fraction is correct!
This problem uses a terminating decimal (ends after 3 places). Repeating decimals like 0.333... require different techniques involving algebra.
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