Ratio and 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: using a colon (e.g., 2:3), as a fraction (e.g., 2/3), or with the word 'to' (e.g., 2 to 3).

Front

What does it mean for two ratios to be equivalent?

Back

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

Front

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

Back

To find a missing value, use equivalent ratios or cross-multiplication to set up an equation and solve for the unknown.

Front

What is a ratio table?

Back

A ratio table is a tool used to organize pairs of numbers that form equivalent ratios, helping to visualize the relationship between them.

Front

If the ratio of apples to oranges is 2:3, how many oranges are there if there are 10 apples?

Back

If there are 10 apples, there are 15 oranges, because 10 apples is 2 parts, and 15 oranges is 3 parts (10/2 = 5, 5*3 = 15).

Front

What is the simplest form of the ratio 12:16?

Back

The simplest form of the ratio 12:16 is 3:4, obtained by dividing both numbers by their greatest common divisor, which is 4.

Front

How do you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, cross-multiply the terms and see if the products are equal.

Front

What is the missing number in the ratio table if the ratio is 4:5 and the first number is 8?

Back

The missing number is 10, because if 4 corresponds to 8, then 5 corresponds to 10 (8/4 = 2, 2*5 = 10).

Front

What is a proportion?

Back

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