Fraction Calculator - With Step-by-Step Solution
Fraction Arithmetic Rules
Addition: a/b + c/d = (a×d + b×c) / (b×d)
Subtraction: a/b − c/d = (a×d − b×c) / (b×d)
Multiplication: a/b × c/d = (a×c) / (b×d)
Division: a/b ÷ c/d = (a×d) / (b×c)
Frequently Asked Questions
How do you add fractions with different denominators?
To add fractions with different denominators, use cross-multiplication: (a/b) + (c/d) = (a×d + c×b) / (b×d). Then simplify the result by dividing numerator and denominator by their GCD.
How do you multiply fractions?
To multiply fractions, multiply the numerators together and the denominators together: (a/b) × (c/d) = (a×c) / (b×d). Then simplify by dividing by the GCD.
How do you divide fractions?
To divide fractions, multiply the first fraction by the reciprocal (flip) of the second: (a/b) ÷ (c/d) = (a/b) × (d/c) = (a×d) / (b×c).
How do you simplify a fraction?
Divide both numerator and denominator by their Greatest Common Divisor (GCD). For example, 12/16 - GCD(12,16) = 4 - simplifies to 3/4.
What is an improper fraction?
An improper fraction has a numerator larger than its denominator, such as 7/4. It equals 1.75 as a decimal and can be written as the mixed number 1¾.
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