Multiply rational values with simplification, mixed forms, and decimals. Review graphs, exports, examples, and tables. Practice confidently using organized inputs and instant verified outputs.
Use mixed numbers or simple fractions. Add the third factor when needed.
| Example | First Rational | Second Rational | Third Rational | Product | Decimal |
|---|---|---|---|---|---|
| 1 | 1/2 | 3/4 | — | 3/8 | 0.375 |
| 2 | 1 1/2 | 2/3 | — | 1 | 1.0 |
| 3 | -2/5 | 3/7 | 5/6 | -1/7 | -0.142857 |
| 4 | 2 3/4 | -1 1/2 | 4/9 | -11/6 | -1.833333 |
Basic product formula:
(a/b) × (c/d) = (a × c) / (b × d)
Extended product formula:
(a/b) × (c/d) × (e/f) = (a × c × e) / (b × d × f)
Mixed number conversion:
w n/d = ((w × d) + n) / d, then apply the sign.
This calculator first converts mixed numbers into improper fractions. It then multiplies the numerators, multiplies the denominators, and simplifies the final answer with the greatest common divisor.
The result is shown as a simplified fraction, a mixed number when useful, and a decimal value for quick comparison.
A rational number can be written as one integer divided by another nonzero integer. Fractions, integers, and many terminating or repeating decimals are rational numbers.
Yes. Enter the whole number, numerator, and denominator for each value. The calculator converts mixed numbers into improper fractions before multiplying them.
Division by zero is undefined. A fraction with zero in the denominator has no valid numerical value, so the calculator blocks that input.
Yes. After multiplying, it finds the greatest common divisor of the numerator and denominator, then reduces the fraction to lowest terms.
Yes. Choose the negative sign for any factor. The final sign depends on whether the number of negative factors is odd or even.
The decimal helps you compare size quickly. It is useful for estimation, graphing, and checking whether the simplified fraction seems reasonable.
Enable the third value when your expression contains three factors, such as multiplying three fractions or a mixed number by two fractions.
They include the expression, numerator and denominator products, raw fraction, greatest common divisor, simplified result, mixed number, decimal value, and timestamp.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.