Question

Mathematics:
What is ratio? Decscrib it's properties. Types .

Answer fast please!
I will mark as brainliest.

Answer 1

$\huge{\mathfrak{\purple{Answer}}}$

• In mathematics, a ratio indicates how many times one number contains another.
• For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6∶8 and the ratio of oranges to the total amount of fruit is 8∶14.
• 1.1 Properties of Ratio:
• A ratio remains the same if both antecedent and consequent are multiplied or divided by the same non-zero number, ... a/b = (a/p) / (b/p) = (a/q) / (b/q) , p, q ≠0.

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#Hope. it helps...

Answer 2

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎$\large\underline{\boxed{\mathfrak{\red{Ratio}}}}$

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎A ratio is a comparison of two quantities of same kind (with same units) by division. The ratio of $\sf{a}$ to $\sf{b}$ is written as $\sf{a:b}$ or $\sf{\frac{a}{b}}$.

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎In the ratio $\sf{a:b}$, $\sf{a}$ and $\sf{b}$ are called terms of the ratio. '$\sf{a}$' is the antecedent and '$\sf{b}$' is the consequent.

${\underline{\underline{\bf{Properties\:of\:ratios:}}}}$

• The ratio of two quantities can be formed, only when both the quantities are expressed in same units.
• The order of the terms in a ratio $\sf{a:b}$ is very important $\rightarrow$ $\sf{a:b≠b:a}$
• The value of a ratio remains unaltered if the given ratio is multiplied or divided by the same non-zero quantity. Suppose, $\sf{a}$, $\sf{b}$ and $\sf{m}$ are non-zero real numbers. Then, $\sf{a : b = ma : mb}$ and $\sf{a : b =\frac{a}{m} : \frac{b}{m}}$.

${\underline{\underline{\bf{Comparison\:of\:ratios:}}}}$

Let $\sf{a:b}$ and $\sf{c:d}$ be two ratios, then

1. $\sf{a : b > c : d, \:if \:ad > bc}$
2. $\sf{a : b < c : d, \:if \:ad < bc}$
3. $\sf{a : b = c : d, \:if \:ad = bc}$
4. Ratios can be compared by expressing the ratios as fractions and then, converting them into decimal numbers.
5. It can also be compared by converting them to their equivalent fraction of common denominator.

${\underline{\underline{\bf{Types\:of\:ratios:}}}}$

• Compounded ratio: The compounded ratio of $\sf{a:b}$ and $\sf{c:d}$ is $\sf{ac:bd}$.
• Duplicate ratio: The duplicate ratio of $\sf{a:b}$ is $\sf{a^2:b^2}$.
• Sub- duplicate ratio: The sub- duplicate ratio of $\sf{a:b}$ is $\sf{\sqrt{a}:\sqrt{b}}$.
• Triplicate ratio: The triplicate ratio of $\sf{a:b}$ is $\sf{a^3:b^3}$.
• Inverse ratio: The inverse ratio of $\sf{a:b}$ is $\sf{\frac{1}{a}:\frac{1}{b}}$, i.e, $\sf{b:a}$.

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