Solve Division Problem: -66.6 ÷ -0.6 Step by Step

66.6:0.6= ? -66.6:-0.6=\text{ ?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Convert from decimal to fraction
00:16 Here too we'll convert from decimal to fraction
00:26 We'll substitute these fractions in our exercise
00:36 Division is also multiplication by the reciprocal
00:40 Let's swap the numerator and denominator
00:44 Let's reduce what we can
00:47 Negative times negative always equals positive
00:55 Let's factor the number 666 into factors 6 and 111
00:59 Let's reduce what we can
01:02 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

66.6:0.6= ? -66.6:-0.6=\text{ ?}

2

Step-by-step solution

Let's convert 66.6 into a simple fraction:

66.6×1010=66610 -66.6\times\frac{10}{10}=-\frac{666}{10}

Let's then convert 0.6 into a simple fraction:

0.6=610 -0.6=-\frac{6}{10}

Now the exercise we have is:

66610:610= -\frac{666}{10}:-\frac{6}{10}=

Let's next convert the division exercise into a multiplication exercise, remembering to switch the numerator and denominator in the second fraction:

66610×106= -\frac{666}{10}\times-\frac{10}{6}=

Let's now reduce the 10 in both fractions to get:

+6666= +\frac{666}{6}=

next, we'll factor 666 into a multiplication exercise:

6×1116= \frac{6\times111}{6}=

Finally, we reduce the 6 in the numerator and denominator of the fraction to get:

+111 +111

3

Final Answer

+111 +111

Practice Quiz

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What will be the sign of the result of the next exercise?

\( (-2)\cdot(-4)= \)

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