Solution - Decimal to fraction
Step-by-step explanation
1. Parse decimal to fraction input
Operation detected: decimal to fraction conversion.
Normalize the decimal input into standard numeric form.
Use decimal places to choose the power-of-ten denominator.
Plan: reduce numerator and denominator by their gcd.
Parse the decimal and rewrite it as a fraction over a power-of-ten denominator.
2. Reduce fraction by gcd
Compute the greatest common divisor of numerator and denominator.
Divide both parts of the fraction by the gcd.
Reduction produced a proper or improper simplified fraction.
After reduction, the simplified fraction is .
3. Conclude simplified fraction
Conclusion: the decimal simplifies to a fraction.
Study tip: always check gcd to confirm the fraction is in lowest terms.
The decimal equals simplified fraction .
Why learn this
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Switching between decimals and fractions improves number sense and helps in algebra, probability, and exact calculations.