Rates, Ratios, and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a to b' or a:b.

Front

How do you simplify a ratio?

Back

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

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 expressed as a fraction that simplifies to the same value.

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal. For example, if a:b = c:d, then a*d = b*c.

Front

Write the ratio of 42 to 6 in simplest form.

Back

7:1

Front

Write the ratio of 27 to 12 in simplest form.

Back

9:4

Front

What is a proportion?

Back

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

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying and comparing the products.

Front

Write the ratio of 120 to 5 in simplest form.

Back

24:1

Front

Determine if the ratios 5 dogs to 6 cats and 20 dogs to 24 cats are equivalent.

Back

Yes, they are equivalent.