Amusing Arithmetic - ratio

What is the definition of a ' ratio ' ??A ratio is an expression which compares quantities relative to each other.A ratio can comprise of two ,three,four,five or even more quantities but the most common examples involve two quantities, but in theory any number of quantities can be compared. Mathematically, they are represented by separating each quantity with a colon, for example the ratio 4:3, which is read as the ratio "four to three" as shown on the right.I n general, a ratio of 4:3 means that the amount of the first quantity is (four thirds) of the amount of the second quantity – this pattern works with ratios with more than two terms.

However, a ratio with more than two terms cannot be completely converted into a single fraction; a single fraction represents only one part of the ratio. If the ratio deals with objects or amounts of objects, this is often expressed as "for every four parts of the first quantity there are three parts of the second quantity".

If these two quantities are the only quantities in a particular situation, a good example would be the length and the breadth of a wall , it is sometimes said that "the whole" contains seven parts, made up of four parts length and three parts breadth.

In this case, or 4/7 of the whole is the length and 3/7 of the whole is the breadth. This comparison of a specific quantity to "the whole" is sometimes called a proportion. Proportions are sometimes expressed as percentages as demonstrated above.
Note that ratios can be reduced like fractions, so that the ratio 8:6 or 12:9 is identical in meaning to the ratio 4:3.

For example:

There are 6 apples and 90 oranges in a basket where there are no other fruits. What is the ratio of the apples to the oranges?

Answer= 1:15

Solution = 6:90

= 3:45

= 1:15

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