Compound Fraction Calculator
Solve and simplify complex fractions with step-by-step logic. Ideal for algebra students handling nested numerators and denominators.
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About
A compound fraction, or complex fraction, contains a fraction in its numerator, denominator, or both. Simplifying these requires applying the reciprocal rule of division. This algebraic tool breaks down the process into atomic steps. It converts mixed numbers to improper fractions, standardizes denominators, and performs the "flip and multiply" operation. Mastery of this concept is essential for calculus and engineering formulas where nested ratios are common.
algebra
math
fractions
simplification
education
Formulas
The core identity for resolving a compound fraction is:
ABCD = AB ÷ CD = AB × DC
Reference Data
| Operation | Rule Expression | Example |
|---|---|---|
| Division | abcd | 1/23/4 |
| Reciprocal | ab × dc | 12 × 43 |
| Result | adbc | 46 = 23 |
Frequently Asked Questions
Treat any whole number x as a fraction x1. This maintains the numerator/denominator structure.
This tool displays the result as both a simplified proper fraction (or mixed number) and a decimal for verification.