Fraction Calculator
How It Works
This fraction calculator uses established formulas to provide accurate results.
The basic rule:
- a/b + c/d = (ad + bc) / bd
- a/b - c/d = (ad - bc) / bd
- a/b × c/d = ac / bd
- a/b ÷ c/d = a/b × d/c = ad / bc
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
How do you add fractions with different denominators?
To add fractions with different denominators, first find a common denominator by multiplying the two denominators together. Then convert each fraction so it has that common denominator by multiplying both the numerator and denominator. Finally, add the numerators and keep the common denominator.
What does it mean to simplify a fraction?
Simplifying a fraction means dividing both the numerator and denominator by their greatest common factor (GCF) until you cannot reduce it any further. For example, 4/8 simplifies to 1/2 because both 4 and 8 can be divided by 4.
How do you divide fractions?
To divide fractions, you multiply by the reciprocal. Flip the second fraction (swap numerator and denominator) and then multiply straight across. For example, 1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6 = 2/3.
Why can't the denominator be zero?
A denominator of zero would mean dividing by zero, which is undefined in mathematics. You cannot split something into zero equal parts, so fractions with a denominator of zero do not have a valid value.