Solve Division Problem: +4.8 ÷ +3 with Decimal Numbers

Q: Why convert 4.8 and 3 to fractions instead of dividing directly?

Converting to fractions like $ \frac{48}{10} \div \frac{3}{1} $ makes the steps clearer and helps avoid decimal calculation errors. You can also divide 4.8 ÷ 3 directly, but fractions show the mathematical reasoning better.

Q: What if I get confused about the signs?

Both numbers are positive (+4.8 and +3), so your answer must be positive too! Remember: positive ÷ positive = positive, just like with regular numbers.

Q: Is there a faster way than converting to fractions?

Yes! You can divide decimals directly: 4.8 ÷ 3 = 1.6. Think of it as 48 ÷ 3 = 16, then move the decimal point one place left since 4.8 has one decimal place.

Q: How do I check if 1.6 is really correct?

Multiply your answer by the divisor: 1.6 × 3 = 4.8 ✓ Since this equals the original dividend, your answer is correct!

Decimal Division with Fraction Conversion

Solve the following expression:

$+\text{4}.8:+3=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:05 Let's solve this problem together!

00:08 Remember, a positive divided by a positive is always positive.

00:15 First, let's convert the decimal into a fraction.

00:19 Then, we'll change the number into a fraction.

00:25 Now, let's substitute these fractions into our exercise.

00:31 Division can be done by multiplying with the reciprocal.

00:35 So, switch the numerator and denominator places.

00:40 Be sure to multiply the numerators and the denominators separately.

00:45 Next, we will factor 48 into 16 times 3.

00:50 Let's simplify wherever possible.

00:56 And there you go! That's how we solve this question.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following expression:

$+\text{4}.8:+3=$

Step-by-step solution

Let's begin by converting 4.8 to a simple fraction:

$4.8=\frac{48}{10}$

Next let's convert 3 to a simple fraction:

$3=\frac{3}{1}$

The resulting exercise is as follows:

$\frac{48}{10}:\frac{3}{1}=$

Let's proceed to convert the division exercise into a multiplication exercise, not forgetting to swap the numerator and denominator in the second fraction:

$\frac{48}{10}\times\frac{1}{3}=$

Let's now combine the above exercise into one multiplication exercise:

$\frac{48\times1}{10\times3}=\frac{48}{10\times3}=$

Next let's break down 48 into a multiplication exercise:

$\frac{16\times3}{10\times3}=$

Let's reduce the 3 in both numerator and denominator obtaining the following:

$\frac{16}{10}$

Finally let's convert the simple fraction into a decimal:

$\frac{16}{10}=1.6$

Final Answer

$1.6$

Key Points to Remember

Essential concepts to master this topic

Division Rule: Positive divided by positive equals positive result
Technique: Convert to fractions: 4.8 = 48/10, then multiply by reciprocal
Check: Verify 1.6 × 3 = 4.8 to confirm division is correct ✓

Common Mistakes

Avoid these frequent errors

Forgetting to simplify before converting back to decimal
Don't leave your answer as 48/30 without reducing = unnecessarily complex calculation! This makes converting to decimal harder and increases error chances. Always reduce fractions by canceling common factors before converting to decimal form.

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 convert 4.8 and 3 to fractions instead of dividing directly?

Converting to fractions like $\frac{48}{10} \div \frac{3}{1}$ makes the steps clearer and helps avoid decimal calculation errors. You can also divide 4.8 ÷ 3 directly, but fractions show the mathematical reasoning better.

How do I know when to flip the second fraction?

When you see division (÷ or :), change it to multiplication and flip (find the reciprocal of) the second fraction. So $\frac{48}{10} \div \frac{3}{1}$ becomes $\frac{48}{10} \times \frac{1}{3}$ .

What if I get confused about the signs?

Both numbers are positive (+4.8 and +3), so your answer must be positive too! Remember: positive ÷ positive = positive, just like with regular numbers.

Is there a faster way than converting to fractions?

Yes! You can divide decimals directly: 4.8 ÷ 3 = 1.6. Think of it as 48 ÷ 3 = 16, then move the decimal point one place left since 4.8 has one decimal place.

How do I check if 1.6 is really correct?

Multiply your answer by the divisor: 1.6 × 3 = 4.8 ✓ Since this equals the original dividend, your answer is correct!

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