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Each of the ratios below is equivalent to [tex]\(3:6\)[/tex].

[tex]\[3:6\][/tex]
[tex]\[1:\][/tex]

Sagot :

GinnyAnswer
To determine the equivalent simplified ratio of [tex]\(3 : 6\)[/tex], follow these steps:

1. Identify the terms of the ratio:
- The original ratio given is [tex]\(3 : 6\)[/tex].

2. Find the greatest common divisor (GCD):
- The GCD of 3 and 6 is the largest number that divides both 3 and 6 without leaving a remainder. In this case, the GCD is 3.

3. Divide both terms of the ratio by the GCD:
- To simplify the ratio, divide each term by 3:
[tex]\[ \frac{3}{3} : \frac{6}{3} \][/tex]

4. Perform the division:
- Simplifying each term:
[tex]\[ 3 \div 3 = 1 \][/tex]
[tex]\[ 6 \div 3 = 2 \][/tex]

5. Write the simplified ratio:
- After the division, the simplified ratio is [tex]\(1 : 2\)[/tex].

So, the ratio [tex]\(3 : 6\)[/tex] is equivalent to [tex]\(1 : 2\)[/tex].
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