Ratios and Equivalent Ratios

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: using a colon (e.g., 3:4), as a fraction (e.g., 3/4), or with the word 'to' (e.g., 3 to 4).

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, even if the numbers are different.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

Front

What is the ratio of STARS to SQUARES if there are 3 STARS and 4 SQUARES?

Back

The ratio of STARS to SQUARES is 3 to 4.

Front

If a car travels 70 miles in 2 hours, what is the ratio of miles to hours?

Back

The ratio of miles to hours is 70 to 2, which simplifies to 35 to 1.

Front

What is the simplified form of the ratio 20:30?

Back

The simplified form of the ratio 20:30 is 2:3.

Front

Are the ratios 4:6 and 2:3 equivalent?

Back

Yes, the ratios 4:6 and 2:3 are equivalent because they simplify to the same ratio.

Front

If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2 to 3.

Front

What is the first step to determine if two ratios are equivalent?

Back

The first step is to cross-multiply the ratios and compare the products.