Question

Explain about the properties of ratio and proportion ??​

Answer 1

Answer:

If two ratios are equal, we say that they are in proportion and use the symbol “::” or “=” to equate the two ratios. For example: Consider two ratios, a:b and c:d. These ratios are said to be in proportion if a/b=c/d and we write a:b::c:d or a,b,c and d are in proportion.

Step-by-step explanation:

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Answer 2

Some useful properties of ratio and proportion are invertendo property, alternendo property, componendo Property, dividendo property, convertendo property, componendo-dividendo property, addendo property and equivalent ratio property. These properties are explained below with examples.

I. Invertendo Property: For four numbers a, b, c, d if a : b = c : d, then b : a = d : c; that is, if two ratios are equal, then their inverse ratios are also equal.

If a : b :: c : d then b : a :: d : c.

Proof:

a : b :: c : d

⟹ ab = cd

⟹ ba = dc

⟹ b : a :: d : c