Answer:

A ratio, which is a comparison of two numbers by division, is the quotient

obtained when the first number is divided by the second, nonzero number.

Since a ratio is the quotient of two numbers divided in a definite order, care

must be taken to write each ratio in its intended order. For example, the ratio of

3 to 1 is written

(as a fraction) or 3 : 1 (using a colon)

while the ratio of 1 to 3 is written

(as a fraction) or 1 : 3 (using a colon)

In general, the ratio of a to b can be expressed as

or a -

b or a : b

To find the ratio of two quantities, both quantities must be expressed in the

same unit of measure before their quotient is determined. For example, to com-

pare the value of a nickel and a penny, we first convert the nickel to 5 pennies

and then find the ratio, which is or 5 : 1. Therefore, a nickel is worth 5 times as

much as a penny. The ratio has no unit o measure.

Ratios

In general, a ratio is an expression that shows the relationship between two values. It tells us how much of one thing is there as compared to another.

proportion

A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."