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Online Equivalent Fractions Calculator
Enter a fraction to generate a table of equivalent fractions in lowest terms and beyond.
| 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?
The Equivalent Fractions Calculator takes any fraction, reduces it to lowest terms, and lists fractions equal in value. Enter 1/5 and it returns 2/10, 3/15, 4/20, and so on. Each equivalent is found by multiplying the simplified numerator and denominator by the same whole number.
How to Use This Tool?
- Enter the numerator in the top box.
- Enter the denominator in the bottom box.
- Click Calculate to generate equivalents.
- Read the grid of equivalent fractions.
Key Features
- Generates many equivalent fractions at once.
- Reduces the input to lowest terms first.
- Works with negative numerators.
- Handles large numbers exactly.
- Displays the results in a clear grid.
Examples
- 1/5 is equivalent to 2/10, 3/15, and 4/20.
- 2/3 is equivalent to 4/6, 6/9, and 8/12.
- 3/4 is equivalent to 6/8, 9/12, and 12/16.
- 4/8 reduces to 1/2, then gives 2/4, 3/6, and 4/8.
Common Use Cases
- Finding a common denominator for adding fractions.
- Rewriting a fraction with a larger denominator.
- Checking whether two fractions are equal.
- Practising fraction equivalence in class.
- Scaling a recipe or ratio up by whole numbers.
Tips & Best Practices
- Enter the fraction in its original form; it will be simplified for you.
- Use a non-zero numerator, since zero has no useful equivalents.
- Keep the denominator a positive whole number.
- Read across the grid to find a fraction with the denominator you need.
- The first entry shown is the fraction in lowest terms.
Limitations
- The numerator must be a non-zero whole number.
- The denominator must be a positive whole number.
- It lists a fixed number of equivalents.
- It works with one fraction at a time.
Frequently Asked Questions
- What are equivalent fractions?
- Equivalent fractions have different numerators and denominators but represent the same value, like 1/2 and 2/4.
- How do you find an equivalent fraction?
- Multiply the numerator and denominator by the same non-zero whole number. Dividing both by a common factor also gives an equivalent fraction.
- Why is the first result simplified?
- The calculator reduces your fraction to lowest terms first, so the list starts from the simplest equivalent and scales up.
- Are equivalent fractions really equal?
- Yes. They name the same point on the number line, so 2/4, 3/6, and 1/2 are all exactly equal.
Key Terminology
- Equivalent fractions
- Fractions that have the same value but different numerators and denominators.
- Numerator
- The top number of a fraction.
- Denominator
- The bottom number of a fraction.
- Lowest terms
- A fraction reduced so the numerator and denominator share no common factor.
- Common factor
- A whole number that divides both the numerator and denominator.