Solve the Operation Sequence: -7:-49:+14:(-3+2) Step by Step

First, let's solve what's inside the parentheses:

$-3+2=-1$

Now the exercise looks like this:

$-7:-49:+14:-1=$

Let's treat the exercise as division between two simple fractions:

$(-7:-49):(+14:-1)=$

$\frac{-7}{-49}:\frac{+14}{-1}=$

Let's look at the simple fraction on the left side.

Since we are dividing a negative number by a negative number, the result will be positive.

Let's break down 49 into a multiplication exercise:

$\frac{7}{7\times7}=$

Let's reduce the 7 in the numerator and denominator and we get:

$\frac{1}{7}$

Now the exercise we got is:

$\frac{1}{7}:\frac{+14}{-1}=$

Let's convert the division to multiplication, don't forget to switch between numerator and denominator:

$\frac{1}{7}\times\frac{-1}{+14}=$

Let's reduce to one exercise:

$\frac{1\times-1}{7\times14}=\frac{-1}{+98}$

Since we are dividing a negative number by a positive number, the result will be negative:

$-:+=-$

Therefore we get:

$-\frac{1}{98}$