Solve Division Problem: (-0.3) ÷ (-0.8) Step by Step

Q: Why does negative divided by negative equal positive?

Think of it this way: if you have a negative amount of something negative, that becomes positive! The rule is: same signs = positive result, different signs = negative result.

Q: Do I have to convert decimals to fractions?

Not always, but it often makes the problem clearer and easier! Converting $ -0.3 ÷ (-0.8) $ to fractions helps you see the multiplication step more clearly.

Q: How do I remember to flip the second fraction?

Remember: division is multiplication by the reciprocal. When you see ÷, change it to × and flip the second fraction. So $ ÷(-\frac{8}{10}) $ becomes $ ×(-\frac{10}{8}) $.

Q: What if I get a decimal answer instead of a fraction?

Both forms can be correct! $ \frac{3}{8} = 0.375 $. However, fractions are often preferred because they show the exact value without rounding.

Q: Can I just divide the decimals directly?

Yes, you can! $ (-0.3) ÷ (-0.8) = 0.3 ÷ 0.8 = 0.375 $. Just remember to handle the signs first: negative ÷ negative = positive.

Fraction Division with Negative Decimal Numbers

$(-0.3):(-0.8)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Negative divided by negative is always positive

00:11 Convert from decimal numbers to fractions

00:19 Substitute in our exercise

00:27 Division is also multiplication by the reciprocal

00:31 Switch between numerator and denominator

00:35 Reduce what we can

00:38 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$(-0.3):(-0.8)=$

Step-by-step solution

Let's convert 0.3 to a simple fraction:

$-0.3=-\frac{3}{10}$

Let's convert 0.8 to a simple fraction:

$-0.8=-\frac{8}{10}$

Now the problem we received is:

$-\frac{3}{10}:-\frac{8}{10}=$

Let's convert the division problem to a multiplication problem, and don't forget to switch the numerator and denominator in the second fraction:

$-\frac{3}{10}\times-\frac{10}{8}=$

Let's simplify the 10 and we get:

$\frac{3}{8}$

Final Answer

$\frac{3}{8}$

Key Points to Remember

Essential concepts to master this topic

Rule: Two negatives in division always equal a positive result
Technique: Convert decimals to fractions: -0.3 becomes $-\frac{3}{10}$
Check: Verify $\frac{3}{8} \times (-0.8) = -0.3$ ✓

Common Mistakes

Avoid these frequent errors

Forgetting the sign rule for division
Don't keep one negative sign in your final answer = $-\frac{3}{8}$ instead of correct answer! When dividing two negatives, they cancel out to make positive. Always remember: negative ÷ negative = positive.

Practice Quiz

Test your knowledge with interactive questions

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

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

FAQ

Everything you need to know about this question

Why does negative divided by negative equal positive?

Think of it this way: if you have a negative amount of something negative, that becomes positive! The rule is: same signs = positive result, different signs = negative result.

Do I have to convert decimals to fractions?

Not always, but it often makes the problem clearer and easier! Converting $-0.3 ÷ (-0.8)$ to fractions helps you see the multiplication step more clearly.

How do I remember to flip the second fraction?

Remember: division is multiplication by the reciprocal. When you see ÷, change it to × and flip the second fraction. So $÷(-\frac{8}{10})$ becomes $×(-\frac{10}{8})$ .

What if I get a decimal answer instead of a fraction?

Both forms can be correct! $\frac{3}{8} = 0.375$ . However, fractions are often preferred because they show the exact value without rounding.

Can I just divide the decimals directly?

Yes, you can! $(-0.3) ÷ (-0.8) = 0.3 ÷ 0.8 = 0.375$ . Just remember to handle the signs first: negative ÷ negative = positive.

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