(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 =
- fraction of apple =
This ratio compares a part of each fruit to the whole
Thus<em>, a part to whole ratio compares different parts of the group to each others is</em> true.
(2) The ratio 3:1 is written as .
Thus, <em>the ratio 3:1 can also be written as 1 to 3 is</em> false.
(3) the ratio 2:3, has the following fractions, decimal and percentage with respect to whole ratio;
- <em>fraction</em> of 2 =
, <em>decimal</em> = 0.4, <em>percentage</em> = 40%
- <em>fraction</em> of 3 =
, <em>decimal</em> = 0.6, <em>percentage</em> = 60%
Thus, <em>a part to whole ratio can be written as a fraction, a decimal, and a percent is</em> true.
(4) the units of the quantities compared have to be the same in order to find their ratios.
Thus, <em>two term and three term ratios compare quantities measures in different units is</em> false.
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