Enter Problem Details
Choose a fraction scenario, enter known values, and submit to see the answer above this form.
Example Data Table
| Scenario | Inputs | Computed Result | Meaning |
|---|---|---|---|
| Fraction of a whole | Whole = 48, Fraction = 3/4 | Part = 36, Remaining = 12 | Three quarters of 48 pages equals 36 pages. |
| Whole from part | Part = 15, Fraction = 3/5 | Whole = 25, Remaining = 10 | If 15 liters are 3/5 of a tank, the full tank holds 25 liters. |
| Remaining after a fraction | Whole = 63, Fraction Used = 2/7 | Used = 18, Remaining = 45 | Using 2/7 of 63 marbles leaves 45 marbles. |
| Combined fractions | Whole = 120, Fractions = 1/4 and 2/5 | Total Used = 78, Remaining = 42 | Reading 1/4 and then 2/5 of the same book uses 78 pages. |
| Fraction from part and whole | Part = 18, Whole = 30 | Fraction = 3/5, Percentage = 60% | 18 students out of 30 represent three fifths of the class. |
Formula Used
1. Fraction of a Whole
Part = Whole × (a / b)
2. Whole from a Part
Whole = Part ÷ (a / b) = Part × (b / a)
3. Remaining Amount
Remaining = Whole × (1 − a / b)
4. Two Fractions of One Whole
Total Used = Whole × [(a / b) + (c / d)]
5. Fraction from Part and Whole
Fraction = Part ÷ Whole
6. Percentage Conversion
Percentage = (Part ÷ Whole) × 100
How to Use This Calculator
Choose a scenario
Pick the exact word-problem style you want to solve, such as part of a whole, remaining amount, or whole from a known part.
Enter known values
Type the whole, part, and fraction values that your story provides. Add a label like apples, pages, liters, or students.
Submit the form
After pressing submit, the solved result appears above the form with steps, formula details, summary cards, and a comparison graph.
Export your work
Use the CSV or PDF buttons to save the answer, the formula, and each solving step for practice sheets or reports.
FAQs
1. What kinds of fraction word problems can this solve?
It handles finding a fraction of a whole, finding the whole from a part, calculating leftovers, combining two fractions, and converting a part-to-whole relationship into a fraction and percentage.
2. Can I use decimals for quantities?
Yes. Whole and part quantities accept decimals. The calculator keeps the arithmetic numeric and still simplifies ratios where possible, especially when the values represent clean decimal relationships.
3. Why does the result sometimes become negative?
A negative remainder appears when the entered fraction or combined fractions are greater than one whole. That is mathematically valid, but it signals an unrealistic story setup.
4. What does mixed-number display do?
When enabled, improper fractions are shown in both simple fraction form and mixed-number form. For example, 7/3 can also appear as 2 1/3 for easier interpretation.
5. How does the whole-from-part mode work?
It treats the known part as a fraction of an unknown total. The calculator divides the part by the fraction, or multiplies by the reciprocal, to recover the whole.
6. What does the graph show?
The graph compares the whole quantity, the solved part, and the remainder. It gives a quick visual check so you can confirm whether the answer matches the story.
7. When should I export to CSV or PDF?
Use CSV when you want structured values for spreadsheets. Use PDF when you want a printable summary with the result, formula, and solving steps.
8. Is this useful for teaching and homework practice?
Yes. The worked steps, example table, formulas, and visual output make it helpful for classroom demonstrations, self-study, homework checking, and concept revision.