Ratio Tables

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is a ratio table?

Back

A ratio table is a tool used to organize and compare ratios, showing equivalent ratios in a structured format.

Front

If the ratio of apples to oranges is 2:3, how many oranges are there if there are 8 apples?

Back

There are 12 oranges. (Using the ratio 2:3, if 2 parts represent 8 apples, then 3 parts represent 12 oranges.)

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 can be simplified to the same fraction.

Front

Complete the ratio table: 4:6, 8:12, __:__

Back

12:18 (This maintains the ratio of 2:3.)

Front

What is the greatest common divisor (GCD) of 8 and 12?

Back

The GCD of 8 and 12 is 4.

Front

If a ratio is 5:10, what is its simplest form?

Back

The simplest form of the ratio 5:10 is 1:2.

Front

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

Back

You can find a missing value by setting up a proportion based on the known ratios.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.