Ratios and Ratio Tables and Equivalent Ratios

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Equivalent ratios are two or more ratios that express the same relationship between numbers, meaning they simplify to the same fraction.

Two ratios are equivalent if they have the same unit rate or if the numerator and denominator of each ratio can be divided by the same number.

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per 1'.

96 pencils (12 pencils per box x 8 boxes = 96 pencils).

A ratio table is a table that displays pairs of numbers that form equivalent ratios, helping to visualize the relationship between the quantities.

To simplify a ratio means to reduce it to its lowest terms by dividing both terms by their greatest common factor.

8:10 (4x2:5x2 = 8:10).

Ratios can be expressed as fractions, and equivalent ratios correspond to equivalent fractions.

You can set up a proportion using the ratio to find an unknown quantity by cross-multiplying and solving for the variable.