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Convert whole numbers to fractions with any denominator. Learn how to express integers as fractions and understand equivalent fractions.
Enter 1 for simple fraction, or another number for equivalent fraction
• 5 with denominator 1 = 5/1
• 3 with denominator 4 = 12/4
• 2 with denominator 8 = 16/8
Enter a whole number to convert
Any whole number can be written as a fraction by placing it over 1. This is the simplest fraction form of a whole number.
Examples:
To express a whole number as a fraction with a specific denominator, multiply the whole number by that denominator and place the result over the denominator.
Formula:
Whole Number = (Whole × Denominator) / Denominator
Example: 3 with denominator 5
3 = (3 × 5) / 5 = 15/5
When you multiply both the numerator and denominator of a fraction by the same number, you create an equivalent fraction - a fraction with a different appearance but the same value.
Example: Converting 4 to eighths
• Start with 4/1
• Multiply top and bottom by 8: (4 × 8)/(1 × 8) = 32/8
• Verify: 32 ÷ 8 = 4 ✓
When adding or subtracting a whole number and a fraction, convert the whole number to a fraction with the same denominator.
For multiplication and division with fractions, convert whole numbers to fractions (over 1) to apply fraction rules.
To compare a whole number with fractions, convert everything to the same denominator for easy comparison.
In algebraic equations involving fractions, expressing whole numbers as fractions makes solving easier.
| Whole Number | As Halves | As Thirds | As Fourths | As Eighths |
|---|---|---|---|---|
| 1 | 2/2 | 3/3 | 4/4 | 8/8 |
| 2 | 4/2 | 6/3 | 8/4 | 16/8 |
| 3 | 6/2 | 9/3 | 12/4 | 24/8 |
| 4 | 8/2 | 12/3 | 16/4 | 32/8 |
| 5 | 10/2 | 15/3 | 20/4 | 40/8 |
Division by 1 doesn't change a number's value. Think of it as dividing something into 1 piece - you still have the whole thing. So 5/1 means 5 divided into 1 part, which is just 5. This is a fundamental property: n/1 = n for any number n.
Multiply the whole number by the desired denominator, then place the result over that denominator. For example, to express 3 as sixths: 3 × 6 = 18, so 3 = 18/6. This works because 18/6 simplifies back to 3.
Yes! These are equivalent fractions - they all equal 5. When you simplify 10/2 or 15/3 by dividing numerator and denominator by their GCF, you get 5/1, which equals 5. Equivalent fractions have the same value but different appearances.
Yes! Zero can be written as 0/1, 0/2, 0/3, or 0 over any non-zero denominator. They all equal zero because zero divided by any non-zero number equals zero. However, you cannot have zero in the denominator (like 5/0) - that's undefined.
The same way as positive numbers! Just keep the negative sign. For example, -4 = -4/1. You can write the negative sign in front of the fraction, with the numerator, or with the denominator (but not with both numerator and denominator): -4/1 = -4/1 = 4/-1.
When performing operations with fractions, you often need all numbers in fraction form. For example, to add 3 + 2/5, convert 3 to 15/5 so you can add: 15/5 + 2/5 = 17/5. This is essential in algebra, fraction arithmetic, and solving equations.