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Online Equivalent Fractions Calculator
Calculate equivalent fractions easily by scaling or simplifying fractions using exact integer arithmetic. Perfect for comparison, recipe adjustments, algebra, and math practice.
| Equivalent fractions | ||||||||
|---|---|---|---|---|---|---|---|---|
| 1/5 | 2/10 | 3/15 | 4/20 | 5/25 | 6/30 | 7/35 | 8/40 | 9/45 |
| 10/50 | 11/55 | 12/60 | 13/65 | 14/70 | 15/75 | 16/80 | 17/85 | 18/90 |
| 19/95 | 20/100 | 21/105 | 22/110 | 23/115 | 24/120 | 25/125 | 26/130 | 27/135 |
| 28/140 | 29/145 | 30/150 | 31/155 | 32/160 | 33/165 | 34/170 | 35/175 | 36/180 |
| 37/185 | 38/190 | 39/195 | 40/200 | 41/205 | 42/210 | 43/215 | 44/220 | 45/225 |
| 46/230 | 47/235 | 48/240 | 49/245 | 50/250 | 51/255 | 52/260 | 53/265 | 54/270 |
| 55/275 | 56/280 | 57/285 | 58/290 | 59/295 | 60/300 | 61/305 | 62/310 | 63/315 |
| 64/320 | 65/325 | 66/330 | 67/335 | 68/340 | 69/345 | 70/350 | 71/355 | 72/360 |
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What Is This Tool?
This calculator generates fractions equivalent to a given fraction by either multiplying or dividing both numerator and denominator by the same non-zero integer. It can also simplify fractions by dividing both parts by their greatest common divisor (GCD), ensuring precise and accurate fraction representation.
How to Use This Tool?
- Enter the numerator (a) and denominator (b) of your original fraction
- Choose a non-zero integer scaling factor (k) to find equivalent fractions by multiplication
- Alternatively, use the simplification option which divides both numerator and denominator by the GCD
- Click the calculate button to see the equivalent fraction output
- Review the results and use them for comparisons, scaling, or educational purposes
Key Features
- Calculates equivalent fractions by scaling numerator and denominator with a non-zero integer factor
- Simplifies fractions to lowest terms using the greatest common divisor (GCD)
- Accurate results using exact integer arithmetic without rounding errors
- Supports numeric fractions only, ensuring precise value conversions
- Easy to use in browsers for quick mathematical calculations
Examples
- Find equivalent fractions of 3/5 by multiplying both numerator and denominator by 2 to get 6/10
- Multiply 3/5 by 3 to produce another equivalent fraction 9/15
- Simplify 12/20 by dividing numerator and denominator by their GCD, 4, resulting in 3/5
Common Use Cases
- Comparing fractions to determine size equivalences
- Converting and scaling recipe quantities accurately
- Solving algebraic equations that involve fractional values
- Teaching and learning fractional relationships in classrooms
- Adjusting ratios and proportions in various math problems
Tips & Best Practices
- Always input whole numbers as numerator and denominator for accurate results
- Use the simplification function to reduce fractions for easier comparison
- Select a non-zero integer scaling factor to generate valid equivalent fractions
- Double check your inputs to avoid division by zero or invalid fractions
- Use this tool for numeric fractions only; algebraic expressions are not supported
Limitations
- This calculator only supports numeric fractions and does not process algebraic or symbolic variables
- It does not handle expressions or fractions involving variables or unknowns
- Input values must be integers; decimal or fractional input is not supported
- Scaling factor must be a non-zero integer to ensure valid equivalences
Frequently Asked Questions
- How do I find equivalent fractions using this tool?
- Enter the original fraction values for numerator and denominator, then choose a non-zero integer scaling factor or use the simplification feature to calculate an equivalent fraction.
- Can I use this calculator for algebraic expressions?
- No, this tool supports only numeric fractions and does not process algebraic expressions or symbolic variables.
- What is the role of the greatest common divisor (GCD) in this calculator?
- The GCD is used to simplify fractions by dividing numerator and denominator by their greatest common divisor to represent the fraction in its lowest terms.
- Is rounding involved in the calculations?
- No, the tool uses exact integer arithmetic, avoiding any rounding to provide precise results.
Key Terminology
- Numerator (a)
- The top number of a fraction representing the number of parts considered.
- Denominator (b)
- The bottom number of a fraction indicating the total number of equal parts.
- Scaling factor (k)
- A non-zero integer used to multiply both numerator and denominator to find equivalent fractions.
- Greatest common divisor (gcd)
- The largest integer that exactly divides both numerator and denominator, used to simplify fractions.