Our improper fraction to mixed numbers calculator is a mathematical tool that converts improper fractions into mixed numbers.
Consider the improper fraction 7/3, improper fraction to mixed numbers convert would convert this to 2 1/3.
In this case:
- The whole number part is 2
- The remaining fractional part is 1/3
Improper Fraction to Mixed Numbers Calculator
| Improper Fraction | Conversion Equation | Mixed Number |
|---|---|---|
| 7/3 | 7 ÷ 3 = 2 R 1 | 2 1/3 |
| 15/4 | 15 ÷ 4 = 3 R 3 | 3 3/4 |
| 22/5 | 22 ÷ 5 = 4 R 2 | 4 2/5 |
| 13/6 | 13 ÷ 6 = 2 R 1 | 2 1/6 |
| 31/8 | 31 ÷ 8 = 3 R 7 | 3 7/8 |
| 45/7 | 45 ÷ 7 = 6 R 3 | 6 3/7 |
| 25/5 | 25 ÷ 5 = 5 R 0 | 5 |
| 15/8 | 15 ÷ 8 = 1 R 7 | 1 7/8 |
| 11/3 | 11 ÷ 3 = 3 R 2 | 3 2/3 |
| 17/6 | 17 ÷ 6 = 2 R 5 | 2 5/6 |
| 9/2 | 9 ÷ 2 = 4 R 1 | 4 1/2 |
| 19/4 | 19 ÷ 4 = 4 R 3 | 4 3/4 |
| 23/5 | 23 ÷ 5 = 4 R 3 | 4 3/5 |
| 29/6 | 29 ÷ 6 = 4 R 5 | 4 5/6 |
| 37/8 | 37 ÷ 8 = 4 R 5 | 4 5/8 |
Improper Fraction to Mixed Numbers Formula
The formula for converting an improper fraction to a mixed number is:
Mixed Number = (Quotient) Remainder / DivisorWhere:
- Quotient = Numerator ÷ Denominator (rounded down to the nearest whole number)
- Remainder = Numerator – (Quotient × Denominator)
- Divisor = Original denominator
Examples:
Convert 11/4 to a mixed number:
Quotient: 11 ÷ 4 = 2 (rounded down)
Remainder: 11 – (2 × 4) = 3
Result: 2 3/4
Convert 17/5 to a mixed number:
Quotient: 17 ÷ 5 = 3 (rounded down)
Remainder: 17 – (3 × 5) = 2
Result: 3 2/5
How do I convert an improper fraction to a mixed number?
- Divide the numerator by the denominator: Perform long division or use a calculator to divide the top number by the bottom number.
- Identify the quotient: The whole number result of the division becomes the whole number part of your mixed number.
- Calculate the remainder: Multiply the quotient by the denominator and subtract this from the numerator.
- Form the mixed number: Write the quotient as the whole number, followed by the remainder over the original denominator.
To convert the improper fraction 25/5 to a mixed number, we can use the formula:
Mixed Number = (Quotient) Remainder / DivisorWhere:
- Quotient = Numerator ÷ Denominator (rounded down to the nearest whole number)
- Remainder = Numerator – (Quotient × Denominator)
- Divisor = Original denominator
Apply the formula:
- Divide: 25 ÷ 5 = 5 (rounded down)
- Remainder: 25 – (5 × 5) = 25 – 25 = 0
- Mixed number: 5 0/5 = 5
The improper fraction 25/5 is equal to the mixed number 5.
What is the improper fraction for 1 1/2?
The improper fraction for 1 1/2 is 3/2.
To find the improper fraction for a mixed number like 1 1/2, we need to reverse the process.
- Multiply the whole number by the denominator: 1 × 2 = 2
- Add this result to the numerator: 2 + 1 = 3
- Place this sum over the original denominator: 3/2
To verify this:
- 3 ÷ 2 = 1 remainder 1
- 1 1/2
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