Yes. Both sides are multiplied by whatever power of ten clears the decimal points before anything is reduced, so 1.5 to 2 becomes 15 to 20 and then 3 to 4. This is also the honest way to handle a ratio like 0.75:1, which people usually mean as three to four without saying so.

Is 4:3 the same as 3:4?

No — the order carries meaning. Four parts of one thing to three of another is not three of the first to four of the second, and a screen that is 4:3 is wider than tall while 3:4 is taller than wide. Label your two quantities before you type them, and the mistake becomes hard to make.

How do I turn a ratio into a percentage?

Decide what the whole is first, because that is where the confusion lives. In 2:3, one part is two fifths of the total, so 40 per cent — but two thirds of the other part, which is 67 per cent. Both statements are true about the same ratio; they answer different questions, and saying which whole you mean removes the ambiguity entirely.

Can a ratio be negative?

Arithmetically yes, and the tool will handle it, but in most real settings it signals a mistake. You cannot have minus two cups of flour. Negative values do make sense where the quantities themselves can be negative — temperatures, gains and losses, coordinates — so the calculator allows them rather than pretending your problem must be about ingredients.

Ratio Calculator - Simplify Ratios and Solve for the Missing Value

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Ratios

Same relationship, smaller numbers

A ratio says how two quantities compare, and nothing about how big either of them is. Sixteen to twenty-four and two to three describe exactly the same mixture, the same slope, the same shape of drink. Reducing to the smaller pair does not throw information away; it removes a size that was never part of the claim, which is why the tidied version travels better between a recipe for four and a recipe for forty.

Using it in three steps

1 Choose whether you are tidying a ratio up or filling a gap in one.
2 Type the numbers you have. Decimals are fine; they get scaled up to whole numbers automatically.
3 Read the simplified pair, or the value of x. The decimal line is there for when a single figure is easier to carry.

Why simplifying does not change anything

Simplifying divides both sides by the same number, and dividing both sides by the same number is exactly what leaves a ratio unchanged. That is why 30:45 and 2:3 give the same answer to every question you can ask of them, and why the simplest form is the one worth remembering: it is the smallest whole-number label for a relationship that has infinitely many labels.

Ratios, fractions and rates are the same idea

A fraction, a ratio and a rate are one thing wearing three coats. Three parts water to one part concentrate, three quarters of the bottle being water, and 3 units of water per unit of concentrate all encode the same division. Noticing that means a proportion problem in a kitchen, a workshop and a spreadsheet are the same problem, and the missing-value mode here solves all three the same way.

Ratios - frequently asked questions

It solves A is to B as C is to x, which is the cross-multiplication you may have been taught at school: x equals B times C divided by A. That single line answers a surprising range of everyday questions, from scaling a recipe to converting a map distance to working out how much paint a larger wall needs.

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