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 to b' or a:b.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

Front

How do you find an equivalent ratio using multiplication?

Back

To find an equivalent ratio using multiplication, multiply both terms of the original ratio by the same non-zero number. For example, for the ratio 2:3, multiplying both by 2 gives 4:6.

Front

How do you find an equivalent ratio using division?

Back

To find an equivalent ratio using division, divide both terms of the original ratio by the same non-zero number. For example, for the ratio 6:9, dividing both by 3 gives 2:3.

Front

What is the simplest form of a ratio?

Back

The simplest form of a ratio is when the two quantities are expressed in the smallest whole numbers possible. For example, the simplest form of 8:12 is 2:3.

Front

How can ratios be used in real life?

Back

Ratios can be used in various real-life situations, such as cooking (ingredient proportions), map reading (scale), and comparing prices (cost per item).

Front

If a recipe calls for 2 cups of flour to 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What is the ratio of boys to girls in a class with 10 boys and 15 girls?

Back

The ratio of boys to girls is 10:15, which simplifies to 2:3.

Front

If there are 4 apples for every 2 oranges, what is the ratio of oranges to apples?

Back

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

Front

How do you express a ratio as a fraction?

Back