Equivalent Ratios and Comparing Ratios Flashcard

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 2:3 and 4:6 are equivalent ratios.

Front

How do you determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply the terms. If the cross-products are equal, the ratios are equivalent.

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares two parts of a whole. For example, in a class of 10 boys and 5 girls, the part-to-part ratio of boys to girls is 10:5.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares one part to the entire whole. For example, if there are 2 cats and 9 fish, the part-to-whole ratio of cats to total pets is 2:11.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

What is the ratio of 6 to 9 in simplest form?

Back

The ratio of 6 to 9 in simplest form is 2:3.

Front

How can you express the ratio 1:4 as an equivalent ratio?

Back

You can express 1:4 as an equivalent ratio by multiplying both terms by the same number. For example, 2:8 is an equivalent ratio.

Front

What is the ratio of green marbles to red marbles if there are 3 green and 2 red?

Back

The ratio of green marbles to red marbles is 3:2.

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 relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 2:3 can be written as the fraction 2/3.