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Given the mathematical expression, it appears to involve fractions and the process of simplification. However, there is some ambiguity in the original task. To make it clear, I'll restate it correctly.

Simplify the following expression and determine the equivalent ratio:

[tex]\[ \frac{\frac{3}{3}}{\frac{6}{3}} = 2 \][/tex]

What ratio is equivalent to [tex]\(\frac{4}{6}\)[/tex]?

Sagot :

GinnyAnswer
Let's break down the problem step-by-step to simplify the ratio [tex]\(4:6\)[/tex]:

1. Understand the Ratio: The given ratio is [tex]\(4:6\)[/tex]. This ratio is composed of two parts: 4 and 6.

2. Find the Greatest Common Divisor (GCD): To simplify the ratio, we need to find the greatest common divisor of 4 and 6. The greatest common divisor is the largest number that can evenly divide both numbers.

The GCD of 4 and 6 is 2.

3. Divide Both Parts by the GCD: Divide each part of the ratio by the GCD to simplify it.
- Divide 4 by 2: [tex]\( \frac{4}{2} = 2 \)[/tex]
- Divide 6 by 2: [tex]\( \frac{6}{2} = 3 \)[/tex]

4. Write the Simplified Ratio: After dividing both parts by the GCD, the simplified ratio becomes [tex]\(2:3\)[/tex].

Therefore, the ratio [tex]\(4:6\)[/tex] is equivalent to [tex]\(2:3\)[/tex].
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