Solve Division Problem: 3.9 Divided by 150

Q: Can I just use a calculator for this?

While calculators work, understanding the process helps you catch errors and builds number sense. Try the long division first, then check with a calculator!

Q: Is there a faster way to do this division?

You can also think of it as $ \frac{3.9}{150} = \frac{39}{1500} $, then simplify by finding common factors. Both methods give the same result!

Decimal Division with Large Whole Numbers

$\text{3}.9:150=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 We'll multiply the fraction by 2 to get a multiple of 100

00:16 We'll reduce as much as possible

00:31 According to the number of zeros in the denominator, we'll move the decimal point

00:48 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

$\text{3}.9:150=$

Step-by-step solution

To solve this problem, we'll directly perform a division of the given numbers $3.9 \div 150$ :

Step 1: Write out the division: $\frac{3.9}{150}$ .
Step 2: Set up the division using long division. To eliminate the decimal in 3.9, multiply both 3.9 and 150 by 10 to work with whole numbers:
$\frac{39}{1500}$ .
Step 3: Perform the division:

$39 \div 1500 = 0.026$ .

Move the decimal back into the appropriate place considering it was shifted during the adjustment to whole numbers.

Therefore, the result of the division $3.9 \div 150$ is $0.026$ .

Final Answer

$0.026$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert decimal to fraction by removing decimal point
Technique: Multiply both numbers by 10: $\frac{39}{1500}$
Check: Verify 0.026 × 150 = 3.9 using multiplication ✓

Common Mistakes

Avoid these frequent errors

Forgetting to handle the decimal point properly
Don't just divide 39 by 150 and forget about decimal placement = 0.26 instead of 0.026! This shifts your answer by a factor of 10. Always track how many decimal places you moved and ensure your final answer reflects the original decimal.

Practice Quiz

Test your knowledge with interactive questions

$$ 20.1:10= $$

FAQ

Everything you need to know about this question

Why do we multiply both numbers by 10?

Multiplying by 10 removes the decimal from 3.9, making it easier to work with whole numbers. Since we multiply both the dividend and divisor by the same amount, the answer stays the same!

How do I know where to put the decimal in my answer?

Count the decimal places in your original problem. Since 3.9 has 1 decimal place and 150 has none, your answer should reflect this relationship through proper long division.

Can I just use a calculator for this?

While calculators work, understanding the process helps you catch errors and builds number sense. Try the long division first, then check with a calculator!

What if I get a different number of decimal places?

Always double-check by multiplying your answer by the divisor. If $0.026 \times 150 = 3.9$ , then you have the correct answer!

Is there a faster way to do this division?

You can also think of it as $\frac{3.9}{150} = \frac{39}{1500}$ , then simplify by finding common factors. Both methods give the same result!

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