Ratio 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

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 can you find equivalent ratios?

Back

You can find equivalent ratios by multiplying or dividing both terms of the ratio by the same non-zero number.

Front

If the ratio of red to blue marbles is 2:3, what is an equivalent ratio?

Back

4:6 is an equivalent ratio.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares a part of a quantity to the entire quantity.

Front

If there are 10 apples and 5 oranges, what is the ratio of apples to the total fruit?

Back

The ratio of apples to total fruit is 10:15, which simplifies to 2:3.

Front

What is the height-to-shadow ratio if a person is 80 cm tall and their shadow is 60 cm long?

Back

The height-to-shadow ratio is 80:60, which simplifies to 4:3.

Front

How do you simplify a ratio?

Back

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

Front

What is the ratio of 6 red hearts to 4 blue diamonds?

Back

The ratio is 6:4, which simplifies to 3:2.

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how much sugar is needed for 4 cups of flour?

Back

For 4 cups of flour, you need 6 cups of sugar, maintaining the ratio of 2:3.