Improper to Mixed Fractions Calculator
This calculator converts an improper fraction into a mixed fraction and shows the working clearly.
Step-by-step method
- Setup: Identify numerator and denominator.
- Divide: Numerator ÷ denominator = whole number and remainder.
- Write mixed form: Whole number + remainder/denominator.
- Simplify: Reduce the fractional part if possible.
Example 1: 17/4
Step 1 - Setup the problem.
In this problem: We convert 17/4 into a mixed fraction.
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Step 2 - Divide the numerator by the denominator.
In this problem: Divide the numerator by the denominator to get a quotient and remainder. 17 ÷ 4 = 4 remainder 1.
| 17 | ÷ | 4 | = | 4 | remainder | 1 |
Step 3 - Write the mixed fraction.
In this problem: The quotient is the whole part, and the remainder stays over the same denominator.
| = | 4
|
Step 4 - Simplify the fraction part.
In this problem: The fraction part is already in simplest form.
4
|
Final answer: 17/4 = 4 1/4
Example 2: 14/6
Step 1 - Setup the problem.
In this problem: We convert 14/6 into a mixed fraction.
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Step 2 - Divide the numerator by the denominator.
In this problem: Divide the numerator by the denominator to get a quotient and remainder. 14 ÷ 6 = 2 remainder 2.
| 14 | ÷ | 6 | = | 2 | remainder | 2 |
Step 3 - Write the mixed fraction.
In this problem: The quotient is the whole part, and the remainder stays over the same denominator.
| = | 2
|
Step 4 - Simplify the fraction part.
In this problem: Divide the remainder and denominator by 2.
2
| = | 2
|
Final answer: 14/6 = 2 1/3
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