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How to change a ratio to a fraction











































How do you change 5:2:1 to a fraction. I know the answer is 26/5 but I do not know how to solve to get this answer. Please help.

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Mar 19, 2010
Compound Ratio
by: Staff


The problem


How do you change 5:2:1 to a fraction. I know the answer is 26/5 but I do not know how to solve to get this answer. Please help.


The solution

There seems to be some information missing from your question. We cannot complete any calculations which would be of help to you without additional information.



But, . . . here is a general answer which may be helpful to you (fraction, ratio, proportion):

Fraction: A/B (A divided by B)
Ratio: A:C (A divided by C)


It is important to note:


Fraction (eg, A divided by B), written A/B - - - generally refers to a certain part of one whole thing, such as ½ of all your income . . . or ¾ of all the apples in a barrel.

Ratio (A divided by C), written A:C - - - this is used to quantify a proportion, a comparison of two things. For example, there are 2 green apples in a barrel for every 3 red apples. This does not tell you how apples are in the barrel, or if there are any other types of apples such as yellow apples, or striped apples. It merely shows that two types of apples can be compared: 2 green apples for every 3 red apples, or 2 green:3 red.

A practical application of this concept is used every day when people talk about automobile efficiency: how many miles per gallon does your car get? This is a ratio: miles per gallon, or miles:gallon, or miles/gallon (when written as a fraction). This ratio does not tell you how far the car will go before it runs out of gasoline; it merely tells how far the car will travel when it burns up 1 gallon of gasoline.

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The ratio shown in your question is often called a compound ratio because there are more than two components:

5:2:1

A good way to understand your compound ratio is to think of dividing 8 coins into 3 groups.

The first group will get 5 coins, the second group will get 2 coins, and the third group will get 1 coin. (If there are 16 coins, each group gets double, etc.)


A compound ratio is the kind can easily be applied to cooking. For example, to prepare a certain dish, mix 1 part salt with 15 parts flower with 25 parts water – than bake.

This compound ratio could be written 1 part salt : 15 parts flower : 25 parts water (1:15:25)

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There are many, many different types of math problems involving compound ratios.


Staff
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