Directions:Rewrite the given proportion according to the property

Answered question

2022-03-19

Directions:Rewrite the given proportion according to the property indecated in the table.Show the correct process for each property (10points)

 

GIVEN PROPORTION:  15/c = 4/d

Cross - multiplication Property 
Alternation Property 
Inverse Property 
Addition Property 
Subtraction Property 

Answer & Explanation

Vasquez

Vasquez

Expert2023-04-24Added 669 answers

Given Proportion: 15c=4d

1. Cross-multiplication Property:
To apply cross-multiplication property, we can simply multiply the numerator of the first fraction with the denominator of the second fraction, and the denominator of the first fraction with the numerator of the second fraction. This gives us:
15d=4c

2. Alternation Property:
To apply alternation property, we can switch the numerator and denominator of one fraction, while keeping the other fraction unchanged. This gives us:
15d=c4

3. Inverse Property:
To apply inverse property, we can simply take the reciprocal of both sides of the equation. This gives us:
c15=d4

4. Addition Property:
Addition property is not applicable to proportions.

5. Subtraction Property:
Subtraction property is not applicable to proportions.

Therefore, we can rewrite the given proportion using cross-multiplication property as 15d=4c and using alternation property as 15d=c4. We can also rewrite it using inverse property as c15=d4.

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