Solve Chain Division: -81:-27·6:-2 Step by Step

Video Solution

Solution Steps

00:07 Let's solve this problem together.

00:11 First, we can write each division as a fraction.

00:21 Remember, a negative divided by a negative is always positive.

00:32 And a negative divided by a positive is always negative.

00:43 Now, let’s break down eighty-one into factors: twenty-seven and three.

00:51 Next, let's break down six into factors: two and three.

00:59 Let's reduce the fractions as much as we can.

01:08 Positive times negative is always negative, so keep that in mind.

01:16 And that's how we find the solution to this question!

Step-by-Step Solution

Let's write the exercise as a multiplication of fractions:

$(-81:-27)\times(6:-2)=$

$\frac{-81}{-27}\times\frac{6}{-2}=$

Note that in the first fraction we are dividing between two negative numbers, therefore the result must be a positive number.

Note that in the second fraction we are dividing between a positive number and a negative number, therefore the result must be a negative number.

Therefore:

$\frac{81}{27}\times-\frac{6}{2}=$

Let's break down 81 into a multiplication exercise and 6 into a multiplication exercise:

$\frac{27\times3}{27}\times-\frac{2\times3}{2}=$

Let's reduce the 27 and the 2 in the numerator and denominator of the fraction and we get:

$3\times-3=$

Note that we are multiplying between a positive number and a negative number, therefore the result must be a negative number:

$-9$