Solve Division with Decimals: Evaluating -3.5 ÷ (-7) + 14

Question

$-3.5:-7+14=\text{ ?}$

00:00 Solve

00:03 Let's solve according to the correct order of operations

00:07 Write division as a fraction

00:10 Always solve multiplication and division before addition and subtraction

00:16 Negative divided by negative always equals positive

00:29 Break down 7 into factors 3.5 and 2

00:35 Simplify what we can

00:44 And this is the solution to the question

We must solve the exercise from left to right.

First, we will rewrite the division as a simple fraction in the following way:

$\frac{-3.5}{-7}+14=$

Note that we are dividing a negative number by a negative number, so the result must be a positive number:

$\frac{-}{-}=+$

We will then break down 7 into a multiplication exercise:

$\frac{3.5}{3.5\times2}+14=$

Finally, we will reduce the 3.5 in both the numerator and denominator of the fraction to get our answer:

$\frac{1}{2}+14=14\frac{1}{2}$

$+14\frac{1}{2}$