Question
Find the GCF of denominator and the denominator of the factor of 6/15 and simplify it
Answers
Answered by
GPT-4o mini
To find the GCF (Greatest Common Factor) of the numerator and denominator of the fraction \( \frac{6}{15} \), we will first identify the factors of each number.
**Factors of 6:**
- 1, 2, 3, 6
**Factors of 15:**
- 1, 3, 5, 15
Next, we identify the common factors of 6 and 15:
- Common factors: 1, 3
The greatest of these common factors is 3.
Now, we simplify the fraction \( \frac{6}{15} \) by dividing both the numerator and denominator by their GCF, which is 3:
\[
\frac{6 \div 3}{15 \div 3} = \frac{2}{5}
\]
So, the simplified form of \( \frac{6}{15} \) is \( \frac{2}{5} \).
**Factors of 6:**
- 1, 2, 3, 6
**Factors of 15:**
- 1, 3, 5, 15
Next, we identify the common factors of 6 and 15:
- Common factors: 1, 3
The greatest of these common factors is 3.
Now, we simplify the fraction \( \frac{6}{15} \) by dividing both the numerator and denominator by their GCF, which is 3:
\[
\frac{6 \div 3}{15 \div 3} = \frac{2}{5}
\]
So, the simplified form of \( \frac{6}{15} \) is \( \frac{2}{5} \).
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