Fractions

Add, subtract, multiply, and divide fractions exactly, without decimal rounding, then read the simplified final result.

Simplify fractions into lowest terms by finding the GCD of the numerator and denominator, preserving the equivalent value, and normalizing signs.

Convert mixed numbers into improper fractions for exact arithmetic, then reduce and return the answer as a simplified fraction or mixed number.

Convert a decimal into the cleanest reduced fraction that fits a chosen denominator limit, showing when the result is exact and when it is an approximation.

Convert a fraction by treating the fraction bar as division, then check the reduced denominator to know whether the decimal ends or repeats.

Simplify a two-part ratio by finding the greatest common divisor, dividing both sides together, and keeping the comparison meaningful.