Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Question 2 [3 points]

Reduce the following ratio to its smallest terms.

Original Ratio:
[tex]\[ 252 : 378 : 315 \][/tex]

Ratio in Lowest Terms:
[tex]\[ \boxed{0:0:0} \][/tex]

Sagot :

GinnyAnswer
To reduce the given ratio [tex]\(252 : 378 : 315\)[/tex] to its smallest terms, we need to follow a series of steps involving finding their greatest common divisor (GCD) and then simplifying each part of the ratio by this GCD.

1. Identify the numbers in the ratio: The numbers given are 252, 378, and 315.

2. Find the GCD of the numbers:
- The greatest common divisor (GCD) of 252, 378, and 315 is 63.

3. Divide each number by the GCD:
- For 252:
[tex]\( \frac{252}{63} = 4 \)[/tex]
- For 378:
[tex]\( \frac{378}{63} = 6 \)[/tex]
- For 315:
[tex]\( \frac{315}{63} = 5 \)[/tex]

4. Write the ratio in its reduced form:
The ratio 252 : 378 : 315 in its lowest terms is [tex]\( 4 : 6 : 5 \)[/tex].

Thus, the ratio 252:378:315 reduced to its smallest terms is [tex]\( 4 : 6 : 5 \)[/tex].
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.