Calculator Form
Enter a proper fraction, improper fraction, or mixed number. Use one negative sign only when the fraction is negative.
Example Data Table
These examples show how fractions simplify into ratios and how ratios can be written back as fractions.
| Input Fraction | Simplified Fraction | Ratio Form | Ratio as Fraction | Decimal |
|---|---|---|---|---|
| 3/4 | 3/4 | 3:4 | 3/4 | 0.75 |
| 6/8 | 3/4 | 3:4 | 3/4 | 0.75 |
| 1 1/2 | 3/2 | 3:2 | 3/2 | 1.50 |
| 10/25 | 2/5 | 2:5 | 2/5 | 0.40 |
| -2/5 | -2/5 | -2:5 | -2/5 | -0.40 |
| 0/9 | 0/1 | 0:1 | 0/1 | 0.00 |
Formula Used
Here, w is the whole part, n is the numerator, and d is the denominator.
Keep the same order. The numerator becomes the first ratio term, and the denominator becomes the second.
Divide both terms by the greatest common divisor to reach the simplest ratio.
Use a positive multiplier k to scale the ratio while preserving its comparison value.
A ratio can always be written as a fraction by placing the first term over the second term.
How to Use This Calculator
- Enter an optional whole part when you have a mixed number.
- Type the numerator and denominator of the fraction.
- Choose an equivalent ratio multiplier for scaled output.
- Select the number of decimal places to display.
- Press Convert Fraction to Ratio to show the result above the form.
- Review the simplified fraction, ratio, decimal, percentage, and graph.
- Download the calculation as CSV or PDF whenever needed.
This tool also helps with the reverse idea by showing how the resulting ratio can be written again as a fraction in simplest form.
FAQs
ratio as a fraction in simplest form calculator
This tool treats a ratio as a fraction by placing the first term over the second. After that, it simplifies using the greatest common divisor. Example: 12:18 becomes 12/18, then 2/3.
write the ratio as a fraction in simplest form.
Replace the colon with a fraction bar, then simplify. Ratio 9:15 becomes 9/15, and reducing both terms gives 3/5. The order must stay the same.
write the ratio as a fraction in simplest form
Put the first ratio term on top and the second below. For 4:7, write 4/7. If both numbers share a factor, divide them before or after writing the fraction.
How to write a ratio as a fraction
For a:b, write a/b. Then simplify by dividing numerator and denominator by their greatest common divisor. Ratios and fractions both compare values in the same order.
How to turn a ratio into a fraction
Change x:y into x/y and keep the order unchanged. Simplify the result if possible. If units differ, convert them first so the comparison is meaningful.
What does fraction to ratio mean?
It means replacing the fraction bar with a colon while preserving the same comparison. Fraction 5/8 becomes ratio 5:8. Simplification gives the cleanest form.
Can a fraction and a ratio be equivalent?
Yes. Fraction 3/4 and ratio 3:4 represent the same comparison. Equivalent fractions produce equivalent ratios after simplifying or scaling by the same factor.
What happens with zero or negative values?
A zero fraction simplifies to 0:1. Negative values keep one negative sign, such as -3:5. A denominator of zero is undefined, so the calculator rejects it.