Answer :
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].
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].