To solve the problem, we first simplify the product of \( \frac{21}{14} \) and \(-1.5\).
-
Simplify \( \frac{21}{14} \): \[ \frac{21}{14} = \frac{3}{2} \quad \text{(by dividing both numerator and denominator by 7)} \]
-
Now, calculate the product: \[ \frac{3}{2} \times (-1.5) \]
-
Convert \(-1.5\) to a fraction: \[ -1.5 = -\frac{3}{2} \]
-
Now multiply the fractions: \[ \frac{3}{2} \times -\frac{3}{2} = -\frac{9}{4} \]
-
Convert \(-\frac{9}{4}\) to decimal: \[ -\frac{9}{4} = -2.25 \]
Thus, the final answer is \(-2.25\). Therefore, the product of \( \frac{21}{14} \) and \(-1.5\) is \(-2.25\).