Reduced Fraction Result
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Decimal Form
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Mixed Number
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How Fraction Arithmetic Works
Fraction calculations utilize common denominators for addition/subtraction and direct cross-multiplication for multiplication/division[cite: 43]:
1
Common Denominators (+ / -)
Find the Least Common Denominator (LCD) to combine or subtract numerators directly.
2
Direct Multiplication & Reciprocals (* / /)
Multiply straight across for products, or multiply by the reciprocal divisor for fractions division.
3
Simplification (Reduction)
Divide both numerator and denominator by their Greatest Common Divisor (GCD) to yield fully reduced terms.
📊 Benchmark Simulation (1/2 + 1/4)
OperationAddition (+)
Reduced Fraction3/4
Decimal Equivalent0.75
Mixed Number0 & 3/4
Frequently Asked Questions
How do you add fractions with different denominators?
Convert both fractions so they share a common denominator, then add their numerators while keeping the denominator unchanged.
How do you simplify a fraction?
Find the greatest common divisor (GCD) of both the numerator and denominator and divide both numbers by it.