Respuesta :
(1) A part to whole ratio compares different parts of the group to each others is true.
(2) the ratio 3:1 can also be written as 1 to 3 is false.
(3) A part to whole ratio can be written as a fraction, a decimal, and a percent is true.
(4) two term and three term ratios compare quantities measures in different units is false.
(1) A ratio has two parts, a numerator and a denominator.
Example: if we have 2 oranges and 3 apples in a fruit basket.
- fruits ratio = 2:3
- total fruits ratio = 5
- fraction of orange = [tex]\frac{2}{5}[/tex]
- fraction of apple = [tex]\frac{3}{5}[/tex]
This ratio compares a part of each fruit to the whole
Thus, a part to whole ratio compares different parts of the group to each others is true.
(2) The ratio 3:1 is written as [tex]\frac{3}{1} =3[/tex].
Thus, the ratio 3:1 can also be written as 1 to 3 is false.
(3) the ratio 2:3, has the following fractions, decimal and percentage with respect to whole ratio;
- fraction of 2 = [tex]\frac{2}{5}[/tex], decimal = 0.4, percentage = 40%
- fraction of 3 = [tex]\frac{3}{5}[/tex], decimal = 0.6, percentage = 60%
Thus, a part to whole ratio can be written as a fraction, a decimal, and a percent is true.
(4) the units of the quantities compared have to be the same in order to find their ratios.
Thus, two term and three term ratios compare quantities measures in different units is false.
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