Ratios and Equivalent Ratios

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

What is an equivalent ratio?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal. For example, for ratios a:b and c:d, they are equivalent if a*d = b*c.

Front

What is the ratio of 4 apples to 2 oranges?

Back

The ratio is 4:2, which can be simplified to 2:1.

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 2:3.

Front

What is the ratio of red toy cars to all toy cars if there are 3 red cars and 10 total cars?

Back

The ratio is 3:10.

Front

Are the ratios 6:8 and 3:4 equivalent?

Back

Yes, they are equivalent because both simplify to the same ratio.

Front

If 10 pencils cost $5, how much do 25 pencils cost?

Back

$12.50 (25 pencils is 2.5 times 10 pencils, so $5 * 2.5 = $12.50).

Front

What is the ratio of 15 to 25?

Back

The ratio is 15:25, which simplifies to 3:5.

Front

If a car travels 60 miles in 1 hour, what is the ratio of miles to hours?

Back

The ratio is 60:1.