Ratios & 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. It can be expressed in three ways: as a fraction (e.g., 3/5), with a colon (e.g., 3:5), or in words (e.g., 3 to 5).

Front

What are the three ways to write a ratio?

Back

1. As a fraction (e.g., 3/5) 2. With a colon (e.g., 3:5) 3. In words (e.g., 3 to 5) Note: '3 - 5' is NOT a valid way to write a ratio.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF). For example, to simplify the ratio 8:14, divide both by 2 to get 4:7.

Front

What is the ratio of pears to all fruit if there are 4 apples, 2 bananas, and 5 pears?

Back

The total number of fruits is 4 + 2 + 5 = 11. The ratio of pears to all fruit is 5:11.

Front

If a ratio is 4:7, which of the following ratios is equivalent? 8:14, 16:17, 20:27, 40:77

Back

8:14 is equivalent to 4:7 because both can be simplified to the same ratio.

Front

What is a ratio table?

Back

A ratio table is a tool used to show the relationship between two quantities. It lists pairs of numbers that maintain the same ratio.

Front

How can you use a ratio table to find missing values?

Back

You can use a ratio table to find missing values by identifying the pattern in the ratios and using multiplication or division to fill in the gaps.

Front

If there are 12 pencils in 1 box, how many pencils are in 8 boxes?

Back

To find the number of pencils in 8 boxes, multiply: 12 pencils/box * 8 boxes = 96 pencils.

Front

What is the value of A in the ratio table if the ratio is 2:3 and the corresponding value is 8?

Back

If the ratio is 2:3, then A = (3/2) * 8 = 12.

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 form.