Question

1. $25\div \frac{1}{6} = \underline{quadquad}$

Explanation:

Step1: Recall division rule for fractions

To divide a number by a fraction, we multiply the number by the reciprocal of the fraction. The reciprocal of $\frac{1}{6}$ is $6$. So, $25\div\frac{1}{6}$ can be rewritten as $25\times6$.

Step2: Perform the multiplication

Calculate $25\times6$. We know that $20\times6 = 120$ and $5\times6=30$, then $120 + 30=150$. So, $25\times6 = 150$.

Answer:

$150$