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

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 simplified to the same fraction.

Front

Are the ratios 1:2 and 2:4 equivalent?

Back

Yes, they are equivalent because both simplify to 1:2.

Front

How do you determine if two ratios are equivalent?

Back

You can determine if two ratios are equivalent by cross-multiplying and checking if the products are equal.

Front

What is the ratio of pears to all fruit if there are 4 apples, 2 bananas, and 5 pears?

Back

The ratio of pears to all fruit is 5:11.

Front

If 15 socks cost $15, what is the cost per sock?

Back

The cost per sock is $1.

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 3:4.

Front

How can you express the ratio 2:4 in simplest form?

Back

The simplest form of the ratio 2:4 is 1:2.

Front

If a recipe calls for 2 cups of flour for every 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 total number of items if the ratio of apples to oranges is 3:2 and there are 9 apples?

Back

If there are 9 apples, then there are 6 oranges, making a total of 15 items.