Ratio of two quantities is the simplified fraction usually. The ratio of Alice's measurements to Will's measurements is 26:19
What is ratio of two quantities?
Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b)
or
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.
For the given case, we've got:
Alice's measurement = 6.5 liters = 6500 millilitres (since 1 liter = 1000 millilitres so we multiplied 6.5 with 1000)
(we converted it to millilitres so that both Alice's measurement and Will's measurement get converted in same unit 'millilitre'. One more fact we used that quantities in liter are being expressed in decimal points which is not what we usually use in ratio, so converting to millilitre gave us integers )
Will's measurement = 4,750 millilitres
Thus, ratio of Alice's measurements to Will's measurements is:
Thus, ratio of Alice's measurements to Will's measurements is 26:19
Ratio tells us that for how much of something is there going to be another thing. For this case, 26:19 is telling that if Will got 19 quantity of that solution, then Alice would have got 26 of it. Its a comparison thing, and useful for getting some rough picture of how their measurement compares. (ratios have other uses too though).
Thus, The ratio of Alice's measurements to Will's measurements is 26:19
Learn more about ratio here:
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