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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 :

GinnyAnsweridn
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].
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