Ratios and Equivalent Ratios

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 : b'.

Front

What are equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different.

Front

How do you find an equivalent ratio using multiplication?

Back

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

Front

How do you find an equivalent ratio using division?

Back

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

Front

If the ratio of apples to oranges is 3 : 5, what is an equivalent ratio?

Back

An equivalent ratio is 6 : 10 (by multiplying both terms by 2).

Front

If there are 20 students in a class and the ratio of boys to girls is 1 : 1, how many boys are there?

Back

There are 10 boys (1 part boys + 1 part girls = 2 parts total; 20 students ÷ 2 = 10 boys).

Front

What is the ratio of 15 to 30 in simplest form?

Back

The simplest form of the ratio 15 : 30 is 1 : 2 (dividing both terms by 15).

Front

Are the ratios 2 : 3 and 4 : 6 equivalent?

Back

Yes, they are equivalent ratios because 4 : 6 simplifies to 2 : 3.

Front

If a recipe calls for a ratio of 2 : 3 of flour to sugar, how much sugar is needed for 4 cups of flour?

Back

6 cups of sugar are needed (if 2 parts flour = 4 cups, then 3 parts sugar = 6 cups).

Front

What is the relationship between the ratios 1 : 4 and 2 : 8?

Back

They are equivalent ratios because 2 : 8 simplifies to 1 : 4.