Fraction Calculator
Add, subtract, multiply, and divide fractions with automatic simplification. Shows step-by-step working.
First Fraction
Second Fraction
3/4 + 2/5 =
23/20
= 1.150000 in decimal
Step-by-step
3/4 + 2/5 = (3×5 + 2×4) / (4×5) = (15+8) / 20 = 23/20 = 23/20
About Fractions
Rules for fraction operations
Addition/Subtraction: find common denominator first, then operate on numerators
Multiplication: multiply numerators together, multiply denominators together
Division: flip the second fraction (take reciprocal) then multiply
Always simplify by dividing numerator and denominator by their GCD
What is simplification?
Simplification (or reduction) means expressing a fraction in its lowest terms. 6/8 simplifies to 3/4 by dividing both by their GCD (2). This makes fractions easier to understand and compare.
Fractions in real life
Cooking and baking: ½ cup, ¾ teaspoon
Construction: ⅜ inch, ¾ inch measurements
Finance: interest rates expressed as fractions
Probability: chance of an event = favourable/total outcomes
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