ratio
A comparison of two quantities by division.
In mathematics, a ratio is a comparison of two or more quantities that expresses their sizes relative to each other. Ratios can be expressed as a fraction, using a colon or as a decimal. For example, the ratio of boys to girls in a class of 30 students with 18 boys and 12 girls can be expressed as:
– Fraction: 18/12 or simplified form 3/2
– Colon notation: 18:12
– Decimal: 1.5
Ratios can also be used to solve problems in proportion. For example, if the ratio of the length to the width of a rectangle is 3:2 and the width is 6 meters, we can find the length by setting up a proportion:
length/width = 3/2
length/6 = 3/2
length = 9 meters
Understanding ratios is essential in many fields, including finance, engineering, and science.
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