48x/49y•7y2

To simplify the expression \(\frac{48x}{49y} \cdot 7y^2\), follow these steps:

1. Multiply the fractions: \[ \frac{48x \cdot 7y^2}{49y} \]

2. Simplify the numerator: \[ 48x \cdot 7y^2 = 336xy^2 \]

3. So the expression becomes: \[ \frac{336xy^2}{49y} \]

4. Now, simplify the fraction by dividing both the numerator and the denominator by \(y\): \[ \frac{336xy^2}{49y} = \frac{336xy}{49} \]

5. Finally, simplify the coefficients: \[ \frac{336}{49} = 6.85714285714 \quad \text{(Approximately)} \quad \text{or it can be expressed as } 6\frac{27}{49} \text{ if you need a mixed fraction.} \]

So, the simplified expression is: \[ \frac{336xy}{49} \quad \text{or} \quad 6.857xy \text{ or } 6\frac{27}{49}xy. \] If we only express it as a fraction, we can just put it as: \[ \frac{336xy}{49} \]