Mrs. Hall walks $1/2$ of a mile to work. She walks 8 blocks in all. We need to find how many miles long each block is.

1. Problem Description

Mrs. Hall walks $1/2$ of a mile to work. She walks 8 blocks in all. We need to find how many miles long each block is.

2. Solution Steps

The total distance to work is $1/2$ mile.

She walks 8 blocks.

To find the length of each block, we need to divide the total distance by the number of blocks.

Length of each block = Total distance / Number of blocks

Length of each block = $\frac{1}{2} \div 8$

To divide a fraction by a whole number, we can write the whole number as a fraction and multiply by the reciprocal.

$8 = \frac{8}{1}$

$\frac{1}{2} \div \frac{8}{1} = \frac{1}{2} \times \frac{1}{8}$

Multiply the numerators and denominators:

$\frac{1 \times 1}{2 \times 8} = \frac{1}{16}$

Each block is $\frac{1}{16}$ of a mile long.

3. Final Answer

1/16