Evaluate -2m:(m+8):1/m with m=1 and m=-1: Sequential Division Challenge

Let's start with the first option.

Let's substitute the data in the expression:

$-2\times(1):(1+8):\frac{1}{1}=$

We'll solve the multiplication (a negative number multiplied by a positive number gives a negative result), then solve what's in parentheses, and finally the simple fraction:

$-2:9:1=$

We'll solve from left to right.

Let's write the division as a simple fraction:

$-\frac{2}{9}:1=-\frac{2}{9}$

Let's continue with the second option.

Let's substitute the data in the expression:

$-2\times(-1):(-1+8):\frac{1}{-1}=$

First, we'll solve the multiplication (we're multiplying two negative numbers so the result will be positive), then the parentheses, and finally the fraction (we're dividing a positive number by a negative number so the result will be negative):

$2:7:-1=$

We'll solve from left to right, let's write the division as a simple fraction:

$+\frac{2}{7}:(-1)=$

Since we're dividing a positive number by a negative number, the result must be negative:

$-\frac{2}{7}$

Therefore, the final answer is:

$1=-\frac{2}{9},2=-\frac{2}{7}$