Two ratios that describe the same relationship are 1:2 and 2:4. Both ratios represent the same proportional relationship, as they can be simplified to the same fraction (1/2). This means that for every 1 part of one quantity, there are 2 parts of another, and for every 2 parts of the first quantity, there are 4 parts of the second. Thus, they convey the same comparative relationship between the two quantities.
equivalentratios
Two ratios that name the same number are 1:2 and 2:4. Both ratios represent the same relationship between the quantities, as they can be simplified to the same fraction, 1/2. This demonstrates that different ratios can express the same proportional relationship.
Equivalent ratios are often referred to as "proportional ratios." These are ratios that express the same relationship between two quantities, even though the numbers may differ. For example, the ratios 1:2 and 2:4 are equivalent because they represent the same proportional relationship.
If you have one ratio then multiply both numbers of the ratio, x:y (or x/y), by any non-zero number. You will have an equivalent ratio.
They are all different ways of representing the same thing: a relationship between two numbers.
equivalentratios
Two ratios that name the same number are 1:2 and 2:4. Both ratios represent the same relationship between the quantities, as they can be simplified to the same fraction, 1/2. This demonstrates that different ratios can express the same proportional relationship.
Equivalent ratios are often referred to as "proportional ratios." These are ratios that express the same relationship between two quantities, even though the numbers may differ. For example, the ratios 1:2 and 2:4 are equivalent because they represent the same proportional relationship.
They are all different ways of representing the same thing: a relationship between two numbers.
If you have one ratio then multiply both numbers of the ratio, x:y (or x/y), by any non-zero number. You will have an equivalent ratio.
They are all different ways of representing the same thing: a relationship between two numbers.
proportion
A straight line graph - is one possible answer.
When they are equivalent ratios.
Equivalent Ratios
An example of two equivalent ratios is 1:2 and 3:6. Both ratios represent the same relationship; for every 1 unit of one quantity, there are 2 units of another, and for every 3 units of the first quantity, there are 6 units of the second. This shows that both ratios maintain the same proportional relationship, even though the numbers differ.
Two ratios that have the same value are called "proportional ratios" or simply "proportions." When two ratios are equal, they can be expressed in the form ( \frac{a}{b} = \frac{c}{d} ), indicating that the relationship between the quantities remains consistent. This concept is fundamental in mathematics, especially in solving problems involving similar figures, scaling, and comparing quantities.