(box) of 36 = (double line) / (box) of (box) 10. 1/3 of 24 = 1/8 of 64

Here are the solutions for problems 9 and 10:

: $\frac{1}{\square} \text{ of } 36 = \frac{\square}{\square} \text{ of } \square$ Step 1: Let the value of the expression be $X$. For the left side, we need to choose a single-digit denominator that is a factor of 36 to get an integer result. Let's choose $4$. $X = \frac{1}{4} \times 36 = 9$ Step 2: Now we need to find a fraction $\frac{n}{d}$ and a number $N$ such that $\frac{n}{d} \times N = 9$. The simplest way to represent 9 as a fraction of a number using single digits is $\frac{1}{1}$ of $9$. So, the numerator is $1$, the denominator is $1$, and the number is $9$. Step 3: Fill in the missing digits. The missing denominator on the left is $\boxed{4}$. The missing fraction on the right is $\boxed{\frac{1}{1}}$. The missing number on the far right is $\boxed{9}$.

: $\frac{1}{3} \text{ of } 24 = \frac{1}{8} \text{ of } \boxed{64}$ Step 1: Calculate the value of the left side: $\frac{1}{3} \times 24 = 8$ Step 2: We need to find the missing number, let's call it $N$, such that $8 = \frac{1}{8} \times N$. Step 3: To find $N$, multiply both sides by $8$: $8 \times 8 = N$ $N = 64$ Your answer of $\boxed{64}$ is correct.