Fraction Calculator with Steps (Mixed Numbers)
Updated · Free · No sign-up · Runs in your browser
Type two fractions — like 3/4, a mixed number like 1 1/2, a negative like -2/5, a whole number or a decimal — and pick an operation.
The answer is shown in simplest form, as a mixed number and as a decimal, with the steps for homework. Exact integer math, so there is no rounding error.
Answer (simplest form)
13/6
Mixed number: 2 1/6 · Decimal: 2.166667
Steps
- 3/2 + 2/3
- = 9/6 + 4/6
- = 13/6
- = 13/6
Common fractions as decimals
| Fraction | Decimal | Fraction | Decimal |
|---|---|---|---|
| 1/2 | 0.5 | 1/8 | 0.125 |
| 1/3 | 0.3333… | 3/8 | 0.375 |
| 2/3 | 0.6667… | 5/8 | 0.625 |
| 1/4 | 0.25 | 7/8 | 0.875 |
| 3/4 | 0.75 | 1/16 | 0.0625 |
| 1/5 | 0.2 | 1/10 | 0.1 |
Worked examples
1/2 + 1/3
- = 3/6 + 2/6
→ 5/6
3/4 − 1/6
- = 18/24 − 4/24 = 14/24
→ 7/12
2 1/2 × 1 1/3
- = 5/2 × 4/3 = 20/6
→ 10/3 = 3 1/3
5/8 ÷ 1/4
- = 5/8 × 4/1 = 20/8
→ 5/2 = 2 1/2
How to add and subtract fractions
- Find a common denominator (multiplying the two denominators always works).
- Rewrite each fraction with that denominator.
- Add or subtract the numerators, then simplify by dividing by the greatest common divisor.
How to multiply and divide fractions
- Multiply: numerator × numerator, denominator × denominator, then simplify.
- Divide: flip the second fraction (its reciprocal) and multiply.
- Mixed numbers: convert to improper fractions first — 2 1/2 = 5/2.
Mixed number fraction calculator
Type a whole number, a space and a fraction (1 3/4). Negative mixed numbers work too: -1 1/2 means −3/2.
Frequently asked questions
How do I enter a mixed number?
Type the whole number, a space, then the fraction: 2 3/4. For a negative mixed number type -2 3/4.
Does it simplify the answer?
Yes. Every answer is reduced to lowest terms using the greatest common divisor, and also shown as a mixed number and a decimal.
Can I use decimals?
Yes. 0.75 is read as 3/4 and 1.2 as 6/5, so you can mix decimals and fractions.
How do you divide fractions?
Multiply the first fraction by the reciprocal of the second: 5/8 ÷ 1/4 = 5/8 × 4/1 = 20/8 = 5/2.
Is the answer exact?
Yes. The calculator uses exact whole-number arithmetic, so 1/3 stays 1/3. Only the decimal line is rounded (to 6 places).
Is anything sent to a server?
No. The math runs in your browser.