Reduce signed fractions and mixed numbers exactly, with the greatest common factor, mixed form and separate decimal approximation.
01 / INPUTS & ASSUMPTIONS
02 / RESULT & EXPLANATION
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Enter the values and units for fraction simplifier, review the stated scope, then choose Calculate. Use the worked explanation and bounded tables to check the result; copy or reset locally.
Inspect the original numerator and denominator, GCF division and sign normalization, then compare exact improper and mixed forms with an independently rounded decimal.
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The greatest common factor of the numerator and denominator is calculated exactly. Both are divided by that factor, then any denominator sign is moved to the numerator. The result is an equivalent fraction in lowest terms.
The GCF is 30. Dividing 150 and 210 by 30 gives 5 and 7, so 150/210 reduces exactly to 5/7.
The denominator is always normalized positive. For example, 42/-56 becomes -3/4 after reducing by 14. A negative numerator and denominator produce a positive result.
A zero numerator over a nonzero denominator is normalized to 0/1. Any zero denominator, including 0/0, is undefined and rejected.
Yes. Select mixed-number input and use a signed whole part followed by a fraction, such as -1 1/2. It is converted to an improper fraction exactly before reduction. The sign applies to the complete mixed value.
It means the original numerator and denominator have GCF one. Sign normalization may still be needed. Exact improper and mixed forms are preserved while a decimal approximation is displayed separately.