Ratios

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 do you express a ratio?

Back

A ratio can be expressed in three ways: using a colon (e.g., 2:3), as a fraction (e.g., 2/3), or in words (e.g., '2 to 3').

Front

What is the difference between part-to-part and part-to-whole ratios?

Back

Part-to-part ratios compare two parts of a whole, while part-to-whole ratios compare a part to the entire whole.

Front

In the ratio 5:11, what does the '5' represent?

Back

In the ratio 5:11, the '5' represents the quantity of the first part (in this case, pears) compared to the total quantity (11) of all items.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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

If a fruit bowl contains 4 apples, 2 bananas, and 5 pears, what is the ratio of apples to bananas?

Back

The ratio of apples to bananas is 4:2, which simplifies to 2:1.

Front

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

Back

The ratio of red marbles to yellow marbles is 2:5.

Front

How do you find the total number of items in a ratio problem?

Back

To find the total number of items, add all parts of the ratio together.

Front

What does a ratio of 2:6 represent in terms of fractions?

Back

A ratio of 2:6 can be expressed as the fraction 2/6, which simplifies to 1/3.