Calculator Input
Enter two fractions as mixed numbers or standard fractions. The result appears above this form after submission.
Example Data Table
| Fraction A | Operation | Fraction B | Result Fraction | Mixed Result | Decimal |
|---|---|---|---|---|---|
| 1 1/2 | Add | 2 1/3 | 23/6 | 3 5/6 | 3.8333 |
| 3/4 | Subtract | 1/8 | 5/8 | 5/8 | 0.6250 |
| 2 1/5 | Multiply | 3/7 | 33/35 | 33/35 | 0.9429 |
| 5/6 | Divide | 2/3 | 5/4 | 1 1/4 | 1.2500 |
Formula Used
1) Mixed Number to Improper Fraction
Improper Numerator = (|Whole| × Denominator) + Numerator, then apply the whole number sign.
2) Addition and Subtraction
a/b ± c/d = (ad ± bc) / bd. This calculator first finds the least common denominator, rewrites both fractions, then simplifies the final answer.
3) Multiplication
a/b × c/d = (ac) / (bd). Multiply numerators together, multiply denominators together, then reduce by the greatest common divisor.
4) Division
a/b ÷ c/d = a/b × d/c. Keep the first fraction, flip the second, multiply, and simplify.
5) Comparison
To compare fractions, use cross multiplication. If ad > bc, then a/b > c/d. If equal, the fractions are equal.
How to Use This Calculator
- Enter the whole number, numerator, and denominator for Fraction A.
- Enter the whole number, numerator, and denominator for Fraction B.
- Select an operation: add, subtract, multiply, divide, or compare.
- Choose how many decimal places you want in the output.
- Press Calculate Fraction Steps to see the result above the form.
- Review the step-by-step explanation, simplified fraction, mixed number, decimal value, and graph.
- Use the export buttons to save the current result as CSV or PDF.
FAQs
1) What does this calculator solve?
It solves fraction addition, subtraction, multiplication, division, and comparisons. It also converts mixed numbers to improper fractions, simplifies answers, and shows decimal values.
2) Can I enter mixed numbers?
Yes. Use the whole number field along with the numerator and denominator. A value like 2, 3, and 5 becomes 2 3/5.
3) Why does the calculator show steps?
Step breakdowns help you verify each operation. They are useful for homework, teaching, exam review, and checking manual work.
4) How are fractions simplified?
The calculator finds the greatest common divisor of the numerator and denominator. Then it divides both parts by that value to reduce the fraction.
5) What happens during division?
Division uses the reciprocal of the second fraction. The tool keeps the first fraction, flips the second, multiplies, and simplifies the final answer.
6) Why are decimals included?
Decimals make fraction size easier to compare. They are especially helpful for graphing, measurement checks, and quick interpretation in classwork.
7) Can this compare two fractions without calculating a new one?
Yes. Choose the compare option. The tool uses cross multiplication and also shows the exact difference between Fraction A and Fraction B.
8) What should I do if my denominator is zero?
A denominator cannot be zero. Replace it with a valid non-zero value before submitting the form, or the calculator will return an error.