Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b' or 'a/b'.

Front

How can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction (a/b), using a colon (a:b), or using the word 'to' (a to b).

Front

Are the ratios 6:10 and 18:30 equivalent?

Back

Yes, they are equivalent because both simplify to 3:5.

Front

What is the ratio of 5 balloons to 7 balloons?

Back

The ratio of Ella's balloons to Tyler's balloons is 5:7.

Front

How do you simplify the ratio 8:12?

Back

To simplify 8:12, divide both numbers by their greatest common divisor, which is 4. The simplified ratio is 2:3.

Front

If there are 12 pencils in 1 box, how many pencils are in 8 boxes?

Back

There are 96 pencils in 8 boxes (12 pencils/box * 8 boxes = 96 pencils).

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 form.

Front

What is the greatest common divisor (GCD)?

Back

The GCD is the largest number that divides two or more numbers without leaving a remainder, used to simplify ratios.

Front

If a recipe calls for a ratio of 2:3 of sugar to flour, how much sugar is needed for 6 cups of flour?

Back

For 6 cups of flour, you need 4 cups of sugar (2:3 means for every 2 parts sugar, there are 3 parts flour).

Front

What is the ratio of 10 apples to 15 oranges?

Back

The ratio of apples to oranges is 2:3 when simplified.