SS OL: Ratios & Ratio Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, 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 (a/b), with a colon (a:b), or with the word 'to' (a to b).

Front

What is a ratio table?

Back

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

Front

How do you find a missing value in a ratio table?

Back

To find a missing value, use the relationship between the known values and set up a proportion to solve for the unknown.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the values and then isolate the variable.

Front

If the ratio of A to B is 3:4, what is the value of B if A = 12?

Back

B = 16, because (3/4) = (12/B) leads to B = 16 after cross-multiplying.

Front

What is the missing value if the ratio is 5:8 and the known value is 40?

Back

The missing value is 64, because (5/8) = (40/x) leads to x = 64.

Front

What does it mean if two ratios are equivalent?

Back

It means that they represent the same relationship between quantities, even if the numbers are different.

Front

How can you check if two ratios are equivalent?

Back

You can check by cross-multiplying the ratios and seeing if the products are equal.