Find the GCF of denominator and the denominator of the factor of 6/15 and simplify it

1 answer

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 \( \frac{2}{5} \).