Ratios & Ratio Tables

Front

What is a ratio?

Back

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

Front

How do you write a ratio?

Back

Ratios can be written in three ways: as a fraction (e.g., 1/2), with a colon (e.g., 1:2), or with the word 'to' (e.g., 1 to 2).

Front

What is a ratio table?

Back

A ratio table is a table that shows equivalent ratios, helping to visualize the relationship between two quantities.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then solve for the unknown variable.

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one fraction by the denominator of the other fraction to find equivalent values.

Front

Back

The relationship is that a times d equals b times c (i.e., a * d = b * c).

Front

Back

x = 5.

Front

If Julie's ratio of water to sugar is 4:2 and Annie's is 10:4, who has more sugar in their punch?

Back

Annie's punch will taste sweeter because it has more sugar.

Front

Back

c = 8.

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.