What is ratio language?

Answer 1

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Ratio

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For non-dimensionless ratios, see Rates.

For other uses, see Ratio (disambiguation).

"is to" redirects here. For the grammatical construction, see am to.

The ratio of width to height of standard-definition television

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 (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14 (or 4∶7).

The numbers in a ratio may be quantities of any kind, such as counts of people or objects, or such as measurements of lengths, weights, time, etc. In most contexts, both numbers are restricted to be positive.

A ratio may be specified either by giving both constituting numbers, written as "a to b" or "a∶b",[1] or by giving just the value of their quotient

a

/

b

.[2][3][4] Equal quotients correspond to equal ratios.

Consequently, a ratio may be considered as an ordered pair of numbers, a fraction with the first number in the numerator and the second in the denominator, or as the value denoted by this fraction. Ratios of counts, given by (non-zero) natural numbers, are rational numbers, and may sometimes be natural numbers. When two quantities are measured with the same unit, as is often the case, their ratio is a dimensionless number. A quotient of two quantities that are measured with different units is called a rate.[5]

Contents

1 Notation and terminology

2 History and etymology

2.1 Euclid's definitions

3 Number of terms and use of fractions

4 Proportions and percentage ratios

5 Reduction

6 Irrational ratios

7 Odds

8 Units

9 Triangular coordinates

10 See also

11 References

12 Further reading

13 External links

Notation and terminology

The ratio of numbers A and B can be expressed as:[6]

the ratio of A to B

A∶B

A is to B (when followed by "as C is to D "; see below)

a fraction with A as numerator and B as denominator that represents the quotient (i.e., A divided by B, or {\displaystyle {\tfrac {A}{B}}}\tfrac{A}{B}). This can be expressed as a simple or a decimal fraction, or as a percentage, etc.[7]

A colon (:) is often used in place of the ratio symbol,[1] Unicode U+2236 (∶).

The numbers A and B are sometimes called terms of the ratio, with A being the antecedent and B being the consequent.[8]

A statement expressing the equality of two ratios A∶B and C∶D is called a proportion,[9] written as A∶B = C∶D or A∶B∷C∶D. This latter form, when spoken or written in the English language, is often expressed as

(A is to B) as (C is to D).

A, B, C and D are called the terms of the proportion. A and D are called its extremes, and B and C are called its means. The equality of three or more ratios, like A∶B = C∶D = E∶F, is called a continued proportion.[10]

Ratios are sometimes used with three or even more terms, e.g., the proportion for the edge lengths of a "two by four" that is ten inches long is therefore

{\displaystyle {\text{thickness : width : length }}=2:4:10;}{\displaystyle {\text{thickness : width : length }}=2:4:10;}

(unplaned measurements; the first two numbers are reduced slightly when the wood is planed smooth)

a good concrete mix (in volume units) is sometimes quoted as

{\displaystyle {\text{cement : sand : gravel }}=1:2:4.}{\displaystyle {\text{cement : sand : gravel }}=1:2:4.}[11]

For a (rather dry) mixture of 4/1 parts in volume of cement to water, it could be said that the ratio of cement to water is 4∶1, that there is 4 times as much cement as water, or that there is a q

Answer 2

For every 2 dogs there are 1 tail

Answer 3

go on EngageNY

Answer 4

ewan