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(5)/(6) of a litre of milk and (1)/(8) of a litre of ice cream are mixed together to make a milkshake. What is the ratio of milk to ice cream in the milkshake? Give your answer in its simplest form.

Question

(5)/(6) of a litre of milk and (1)/(8)
of a litre of ice cream are mixed
together to make a milkshake.
What is the ratio of milk to ice cream
in the milkshake?
Give your answer in its simplest form.

(5)/(6) of a litre of milk and (1)/(8) of a litre of ice cream are mixed together to make a milkshake. What is the ratio of milk to ice cream in the milkshake? Give your answer in its simplest form.

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Answer

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ErinExpert · Tutor for 3 years

Answer

<p> 20 : 3</p>

Explain

<p> In the problems involving ratios, the first step is usually to ensure that the quantities to be compared are in same units. Here, both quantities are in litres we therefore do not require conversion. We can proceed and calculate the ratio. Since the Bottles are of 5/6 litres of milk and 1/8 litres of ice cream, ratio of milk to ice cream is 5/6 : 1/8, which can be simplified by multiplying both terms of the ratio by the least common multiple of the denominators of the fractions to twist the ratio to form where each constituent is a whole number. The denominators are 6 and 8, whose least common multiple is 24. Thus, multiplying both terms of the ratio by 24 gives us our result.</p>
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