Ratios are a way to show how two different amounts are related to each other.

They tell us how much of one thing there is compared to another.

Ratios are written like this: ( a:b ), where ( a ) and ( b ) are the numbers we are comparing.

Key Points:

• Definition: A ratio looks at two or more amounts and compares them.

• Proportional Relationships: Ratios are useful when we need to solve problems that involve parts being equal. For example, if one pair of numbers has the same ratio as another pair, we can write it like this: ( a:b = c:d ).

• Examples:

  • If you have 4 apples and 2 oranges, the ratio of apples to oranges is ( 4:2 ). We can also simplify this to ( 2:1 ).
  • If a recipe needs 3 cups of flour and 2 cups of sugar, the ratio is ( 3:2 ).

Learning about ratios is important. It helps build skills you’ll need for tougher math problems and for everyday situations.