Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 3:2), as a fraction (e.g., 3/2), or with the word 'to' (e.g., 3 to 2).

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 simplify to the same fraction.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

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

To find the amount of sugar needed, set up the ratio: 2/3 = x/6. Cross-multiply to find x = 4 cups of sugar.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares a part of a quantity to the entire quantity, showing how much of the whole is made up of that part.

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares two parts of a whole to each other, showing the relationship between those two parts.

Front

How can ratios be used in real life?

Back

Ratios are used in various real-life situations, such as cooking, mixing solutions, and comparing prices.

Front

What is the ratio of 8 to 12 in simplest form?

Back

The simplest form of the ratio 8 to 12 is 2:3, obtained by dividing both numbers by their GCF, which is 4.

Front

If a car travels 150 miles on 5 gallons of gas, what is the ratio of miles to gallons?

Back

The ratio of miles to gallons is 150:5, which simplifies to 30:1.