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., 2:3), as a fraction (e.g., 2/3), or with the word 'to' (e.g., 2 to 3).

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 can you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the ratio of pages read to pages left if Henry read 350 pages out of 500?

Back

The ratio is 7:3, meaning for every 7 pages read, there are 3 pages left.

Front

If the ratio of boys to girls in a class is 2:3, how many boys are there if there are 15 girls?

Back

There are 10 boys, since the ratio 2:3 means for every 2 boys, there are 3 girls.

Front

What is the first step to solve a ratio problem?

Back

Identify the total quantity and the parts that make up the ratio.

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 relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and they represent the same concept of part-to-part or part-to-whole relationships.

Front

What is an example of an equivalent ratio to 3:4?

Back

An example of an equivalent ratio is 6:8.