Ratio Language

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other.

Front

How can ratios be expressed?

Back

Ratios can be expressed in three ways: as a fraction (e.g., 2/3), with a colon (e.g., 2:3), or in words (e.g., 2 to 3).

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 boys to girls if there are 5 boys and 7 girls?

Back

The ratio of boys to girls is 5:7.

Front

In a bag of marbles with 3 blue, 2 red, and 5 yellow marbles, what is the ratio of blue to yellow marbles?

Back

The ratio of blue to yellow marbles is 3:5.

Front

How do you simplify the ratio 8:12?

Back

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

Front

What is the ratio of red marbles to total marbles if there are 2 red, 3 blue, and 5 yellow marbles?

Back

The total number of marbles is 10, so the ratio of red marbles to total marbles is 2:10, which simplifies to 1:5.

Front

If Ella has 3 balloons and Taylor has 17 balloons, what is the ratio of Ella's balloons to Taylor's balloons?

Back

The ratio of Ella's balloons to Taylor's balloons is 3:17.

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same fraction.

Front

How can you find an unknown quantity in a ratio?

Back

To find an unknown quantity in a ratio, set up a proportion and solve for the unknown using cross-multiplication.