Q.

State whether the given statement is true or false.


Convert a rate to a unit rate by numerator divided by denominator.


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a

True

b

False 

answer is A.

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Detailed Solution

The given statement is  true.
Concept- We must divide the numerator and denominator of the provided rate by the given
rate's denominator in order to convert the rate to a unit. The unit rate is a ratio that contrasts
the value of one unit of one quantity with the values of several units of another quantity.
We all know that when two quantities need to be connected in the metric system, unit Rate is
used.
Kilometres per hour, miles per hour, cost per item, etc. are a few instances of unit rates.
The aforementioned examples show us that the denominator in each word is a unit of the
quantity. We must be working with unit rates, according to this.
Let's talk about how to compute the rate before converting it to unit rate.
The ratio of two related parameters that are changing in relation to one another can be used to
describe the rate. The rate is typically determined per unit of time. As a result, the rate
calculation formula is:
So, by differentiating any quantity with regard to time, the rate may be determined.
The quantity in the denominator for a unit rate must be one. As a result, the rate ratio needs to
be simplified so that the denominator equals 1.
Hence, the given statement is true.
 
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