Ratio & proportion tools
1:10 Ratio Calculator
The same three characters describe two different mixtures. This page settles which one you have.
| Reading | What the 10 means | Total parts | Strength of part A |
|---|---|---|---|
| 1:10 (parts to parts) | 10 parts of B added to 1 of A | 11 | 1/11 ≈ 9.09% |
| 1 in 10 (part in total) | 10 parts in the finished mixture | 10 | 1/10 = 10% |
Same digits, different denominators. Everything else on this page follows from that one difference.
Exact result
100 units · 1,000 units
9.09% : 90.91% · 11 total parts · 1 part = 100 units
- Total parts
- 11
- Simplest form
- 1 : 10
- One part
- 100 units
Know one side instead?
Enter one measured amount to scale the whole ratio.
Working
- Add the parts: 11 total parts.
- One part = 1,100 ÷ 11 = 100 units.
- Multiply one part by each ratio part: 100 and 1,000.
Equivalent 1:10 ratios
- 1 : 10
- 2 : 20
- 3 : 30
- 4 : 40
- 5 : 50
- 6 : 60
The two readings, computed
1:10 as parts to parts
- 1 part A + 10 parts B = 11 total parts.
- A is 1/11 of the finished mixture = 0.0909… ≈ 9.09%.
- For 1,100 ml: one part = 1,100 ÷ 11 = 100 ml, so 100 ml A + 1,000 ml B.
1 in 10 as part in total
- 1 part A in 10 total parts, so B supplies the other 9.
- A is 1/10 of the finished mixture = 10%.
- For 1,100 ml: one part = 1,100 ÷ 10 = 110 ml, so 110 ml A + 990 ml B.
The gap is 100 ml against 110 ml — the parts reading is about 9% weaker in relative terms. Small on one batch, and it compounds every time the batch is scaled or the mixture is re-diluted.
Why the ambiguity exists at all
A colon written between two quantities normally compares part with part, so 1:10 should mean one of A for ten of B. But “a 1:10 dilution” is also used loosely to mean a tenfold dilution — one volume made up to ten volumes in total. The notation cannot distinguish them; only the surrounding wording can.
| If the source says | Read it as | A is |
|---|---|---|
| 1 part concentrate to 10 parts water | Parts to parts | 9.09% |
| Add 10 parts water | Parts to parts | 9.09% |
| Dilute 1 in 10 | Part in total | 10% |
| Make up to 10 volumes / tenfold dilution | Part in total | 10% |
| 10% solution | Part in total | 10% |
The verb is the tell: added to a base is parts-to-parts; made up to a total is part-in-total.
Generalising the difference
For any 1:n written as parts to parts, the first component is 1/(n+1) of the finished mixture. Read as “1 in n”, it is 1/n. The two converge as n grows — 1:100 gives 0.990% against 1.000% — and diverge sharply at small n, where 1:1 means 50% but “1 in 1” means 100%.
| Written | Parts to parts | Part in total | Relative gap |
|---|---|---|---|
| 1:1 | 50% | 100% | 2× |
| 1:4 | 20% | 25% | 1.25× |
| 1:10 | 9.09% | 10% | 1.1× |
| 1:100 | 0.990% | 1.00% | 1.01× |