Solve matching-denominator fractions fast with mixed-number support and simplification. Review clear working steps instantly online. Track totals, decimal values, and charts for every sum.
Use one shared denominator. Enter whole parts for mixed numbers. Negative mixed numbers are supported through the whole part.
This sample shows how matching denominators make addition direct and easy.
| Example | Fractions Added | Numerator Total | Result | Simplified |
|---|---|---|---|---|
| Basic | 1/8 + 3/8 + 2/8 | 6 | 6/8 | 3/4 |
| Mixed Numbers | 1 2/5 + 3/5 + 2 1/5 | 18 | 18/5 | 3 3/5 |
| Zero Included | 0/7 + 4/7 + 1/7 | 5 | 5/7 | 5/7 |
| Larger Sum | 5/9 + 7/9 + 4/9 | 16 | 16/9 | 1 7/9 |
Like fractions already share the same denominator, so the denominator stays fixed while numerators are combined.
Step 1: Convert each mixed number to an improper numerator.
Improper Numerator: n = w × d + a for nonnegative whole parts.
For negative mixed values: n = w × d − a.
Step 2: Add the improper numerators.
Total: N = n₁ + n₂ + n₃ + ... + nₖ
Step 3: Form the result with the same denominator.
Result: N / d
Step 4: Simplify by dividing numerator and denominator by their greatest common divisor.
Like fractions have the same denominator. Since their parts are equal in size, you add the numerators directly and keep the denominator unchanged.
Yes. This calculator is specifically for like fractions, so every term must share one denominator. If denominators differ, convert them before adding.
Yes. Enter the whole part and numerator for each term. The calculator converts each mixed number into an improper fraction before adding.
Simplifying makes the answer easier to read and compare. It reduces the fraction to lowest terms while keeping the exact same value.
A zero term does not change the total. You can leave a whole part and numerator as zero, and the calculator will still work correctly.
Yes. When the numerator total exceeds the denominator, the answer is improper. The calculator also shows the same value as a mixed number.
The graph shows each term’s decimal value and the final total. It helps students compare contribution size and understand fraction addition visually.
No. Fraction addition is commutative, so reordering like fractions does not change the final sum as long as the values stay the same.
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.