Questions: 14xy / 49y

Solution Steps

To simplify the fraction \(\frac{14xy}{49y}\), we need to find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by this GCD. Additionally, we can cancel out any common variables in the numerator and the denominator.

We start with the fraction

\[ \frac{14xy}{49y} \]

To simplify the fraction, we first find the greatest common divisor (GCD) of the numerator \(14\) and the denominator \(49\). The GCD is

\[ \text{GCD}(14, 49) = 7 \]

Next, we divide both the numerator and the denominator by the GCD:

\[ \frac{14 \div 7 \cdot xy}{49 \div 7 \cdot y} = \frac{2xy}{7y} \]

We can cancel the common variable \(y\) from the numerator and the denominator:

\[ \frac{2x}{7} \]

Final Answer