Result
4 1/4
Decimal
4.25
Fraction
17/4
First Mixed Number
Second Mixed Number
4 1/4
17/4
4.25
a b/c = (a × c + b) / cConvert a mixed number to an improper fraction by multiplying the whole part by the denominator and adding the numerator.
Where:
a= Whole number partb= Numerator of the fractional partc= Denominator of the fractional parta/b + c/d = (a×d + c×b) / (b×d)Add fractions by cross-multiplying for the numerator and multiplying denominators. Simplify using GCD.
Where:
a/b= First fractionc/d= Second fractionb×d= Common denominatora/b ÷ c/d = a/b × d/c = (a×d) / (b×c)Divide fractions by multiplying by the reciprocal of the divisor.
Where:
a/b= Dividend fractionc/d= Divisor fractiond/c= Reciprocal of divisorInputs
Result
Convert: 2 3/4 = 11/4, 1 1/2 = 3/2. LCD = 4: 11/4 + 6/4 = 17/4. Convert back: 17/4 = 4 1/4.
Inputs
Result
Convert: 3 1/3 = 10/3, 2 1/2 = 5/2. Multiply: (10×5)/(3×2) = 50/6. Simplify: 25/3 = 8 1/3.
Inputs
Result
Convert: 5 0/1 = 5/1 = 20/4, 2 3/4 = 11/4. Subtract: 20/4 - 11/4 = 9/4. Convert: 9/4 = 2 1/4.
To add mixed numbers, first convert each to an improper fraction, find a common denominator, add the numerators, then simplify and convert back. For example, 2 3/4 + 1 1/2: convert to 11/4 + 3/2, find LCD 4, get 11/4 + 6/4 = 17/4 = 4 1/4.
| Problem | Improper Fractions | Result |
|---|---|---|
| 2 3/4 + 1 1/2 | 11/4 + 3/2 = 17/4 | 4 1/4 |
| 1 1/3 + 2 1/6 | 4/3 + 13/6 = 21/6 | 3 1/2 |
| 3 2/5 + 1 3/10 | 17/5 + 13/10 = 47/10 | 4 7/10 |
To multiply mixed numbers, convert each to an improper fraction, then multiply numerators together and denominators together. Simplify the result. For example, 3 1/3 × 2 1/2: convert to 10/3 × 5/2 = 50/6 = 25/3 = 8 1/3.
| Problem | Improper Fractions | Result |
|---|---|---|
| 3 1/3 × 2 1/2 | 10/3 × 5/2 = 50/6 | 8 1/3 |
| 1 1/2 × 2 2/3 | 3/2 × 8/3 = 24/6 | 4 |
| 2 1/4 × 1 1/3 | 9/4 × 4/3 = 36/12 | 3 |
To convert a mixed number to an improper fraction: multiply the whole number by the denominator, add the numerator. The denominator stays the same. Example: 2 3/4 = (2 × 4 + 3)/4 = 11/4. To convert back: divide numerator by denominator for the whole part, the remainder is the new numerator.
| Mixed Number | Calculation | Improper Fraction |
|---|---|---|
| 2 3/4 | (2×4 + 3) / 4 | 11/4 |
| 5 1/3 | (5×3 + 1) / 3 | 16/3 |
| 1 7/8 | (1×8 + 7) / 8 | 15/8 |
| 10 1/2 | (10×2 + 1) / 2 | 21/2 |
When the fraction part of the first number is smaller than the second, you need to borrow. Convert to improper fractions to avoid borrowing complications. For 5 - 2 3/4: convert 5 to 20/4, then 20/4 - 11/4 = 9/4 = 2 1/4.
| Problem | Improper Fractions | Result |
|---|---|---|
| 5 - 2 3/4 | 20/4 - 11/4 = 9/4 | 2 1/4 |
| 3 1/6 - 1 5/6 | 19/6 - 11/6 = 8/6 | 1 1/3 |
| 4 1/3 - 2 2/3 | 13/3 - 8/3 = 5/3 | 1 2/3 |
To divide mixed numbers, convert both to improper fractions and multiply by the reciprocal of the divisor. For 3 1/2 ÷ 1 1/4: convert to 7/2 ÷ 5/4, then multiply 7/2 × 4/5 = 28/10 = 14/5 = 2 4/5.
| Problem | As Multiplication | Result |
|---|---|---|
| 3 1/2 ÷ 1 1/4 | 7/2 × 4/5 = 28/10 | 2 4/5 |
| 4 ÷ 1 1/3 | 4/1 × 3/4 = 12/4 | 3 |
| 2 1/2 ÷ 1 1/2 | 5/2 × 2/3 = 10/6 | 1 2/3 |
Last Updated: Mar 9, 2026
This calculator is provided for informational and educational purposes only. Results are estimates and should not be considered professional financial, medical, legal, or other advice. Always consult a qualified professional before making important decisions. UseCalcPro is not responsible for any actions taken based on calculator results.