Enter up to six values, simplify accurately, and view equivalent forms instantly. Learn ratios visually. Turn messy numbers into clean relationships for faster decisions.
Use at least two values. Blank fields are ignored automatically.
| Case | Original Ratio | Normalized Integers | Simplified Ratio | Scale Factor | Scaled Ratio | Target Total | Target Ratio |
|---|---|---|---|---|---|---|---|
| Paint mix | 12 : 18 : 24 | 12 : 18 : 24 | 2 : 3 : 4 | 5 | 10 : 15 : 20 | 45 | 10 : 15 : 20 |
| Decimal recipe | 1.5 : 2.25 : 3 | 150 : 225 : 300 | 2 : 3 : 4 | 2.5 | 5 : 7.5 : 10 | 18 | 4 : 6 : 8 |
| Budget split | 40 : 60 | 40 : 60 | 2 : 3 | 100 | 200 : 300 | 500 | 200 : 300 |
1) Convert decimals to integers using the largest decimal count.
A_i = a_i × 10^d
2) Find the greatest common divisor of all normalized integers.
g = gcd(A_1, A_2, ..., A_n)
3) Divide each normalized integer by the divisor.
s_i = A_i / g
4) Create an equivalent scaled ratio when needed.
e_i = s_i × k
5) Match a requested total by using the simplified sum.
t_i = s_i × (T / Σs_i)
Here, a_i is each input value, d is the maximum decimal places, g is the greatest common divisor, k is the scale factor, and T is the chosen target total.
Simplifying a ratio means dividing every term by the greatest common divisor so the relationship stays unchanged while the numbers become smaller and easier to read.
Yes. It first converts decimal values into whole-number equivalents using a power-of-ten multiplier, then finds the divisor and returns the simplest ratio.
Blank inputs let you work with different ratio sizes using one form. You can calculate two-part, three-part, or six-part ratios without changing the page layout.
The scale factor creates an equivalent ratio from the simplified form. This is useful when resizing recipes, splitting budgets, or converting classroom examples into larger values.
Target total tells the calculator to spread the simplified ratio across a chosen sum. It keeps the same proportion while matching your required total amount.
Yes, as long as not every term is zero. A ratio such as 0 : 8 : 12 can still be simplified because the nonzero terms provide a valid divisor.
Each share equals the original term divided by the original total, multiplied by 100. This shows how much of the full ratio each part represents.
Download the result when you need to document calculations, send classroom work, archive planning ratios, or reuse a clean summary in another report.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.