Solving Ratio Problems

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 simplify a ratio?

Back

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

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

How do you find the total quantity when given a ratio and one part?

Back

To find the total quantity, first determine the total parts of the ratio, then use the known quantity to find the value of one part, and multiply by the total parts.

Front

If the ratio of boys to girls is 2:3 and there are 30 boys, how many girls are there?

Back

If the ratio is 2:3, then for every 2 boys, there are 3 girls. If there are 30 boys, then there are (30 boys / 2) * 3 = 45 girls.

Front

What is the formula to find the total number of items in a ratio?

Back

Total items = (Sum of the parts of the ratio) * (Value of one part).

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity, e.g., a:b can be written as a/b.

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal, while a ratio simply compares two quantities.

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the part by the total and multiply by 100.

Front

What is a ratio table?

Back

A ratio table is a tool used to display equivalent ratios in a structured format, showing how two quantities change in relation to each other.