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

A ratio can be written 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

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price per item.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if Jack jumps 40 times in 4 minutes, the unit rate is 40 jumps / 4 minutes = 10 jumps per minute.

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when both quantities are divided by their greatest common factor (GCF). For example, the ratio 6:9 simplifies to 2:3.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator. For example, the ratio 2:5 becomes the fraction 2/5.

Front

What is a ratio table?

Back

A ratio table is a table that displays pairs of numbers that form a ratio, helping to visualize the relationship between the quantities.

Front

How do you solve a problem using a ratio table?

Back

To solve a problem using a ratio table, identify the known ratios, fill in the table with equivalent ratios, and use it to find the unknown quantity.

Front

What is the ratio of goats to total animals if there are 6 goats, 2 chickens, 4 deer, and 3 donkeys?

Back

The total number of animals is 6 + 2 + 4 + 3 = 15. The ratio of goats to total animals is 6:15, which simplifies to 2:5.

Front

If Jane smiles 15 times in 5 minutes, how many times does she smile in 1 minute?

Back

To find the rate, divide 15 smiles by 5 minutes. Jane smiles 3 times per minute.