Ratios and Tape Diagrams

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or 'a:b'.

Front

How can a ratio be expressed?

Back

A ratio can be expressed using a colon (:) or the word 'to'.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between quantities, even if the numbers are different.

Front

What is the equivalent ratio of 5 to 4 when both sides are multiplied by 5?

Back

The equivalent ratio is 25 to 20.

Front

How do you find the total number of items in a group when given a ratio?

Back

To find the total number of items, you can use the ratio to set up a proportion and solve for the total.

Front

What is a tape diagram?

Back

A tape diagram is a visual representation of a ratio or a relationship between quantities, often used to solve problems involving ratios.

Front

If there are 120 boys in a group and the ratio of boys to girls is 5 to 8, how many girls are there?

Back

There are 150 girls in the group.

Front

What is the total number of boys and girls if there are 120 boys and the ratio of boys to girls is 5 to 8?

Back

The total number of boys and girls is 270.

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 GCD of 25 and 20?

Back

The GCD of 25 and 20 is 5.