Converting 0.05 to Fraction Form: Decimal Transformation Exercise

Q: Why isn't the answer just 5/100?

While $ \frac{5}{100} $ equals 0.05, the question asks for a specific equivalent fraction from the given choices. We need to find which answer choice equals $ \frac{5}{100} $.

Q: How do I know 20/400 equals 5/100?

Both fractions are equivalent because $ \frac{20}{400} = \frac{5 \times 4}{100 \times 4} = \frac{5}{100} $. When you multiply or divide both numerator and denominator by the same number, the fraction stays equal!

Q: What if I can't remember the place value rules?

Count the digits after the decimal point! One digit = tenths (÷10), two digits = hundredths (÷100), three digits = thousandths (÷1000). So 0.05 has two digits, meaning hundredths.

Q: Can I just divide 20 by 400 to check?

Yes! That's a great way to verify: $ 20 ÷ 400 = 0.05 $. If your fraction choice gives you 0.05 when you divide, you've got the right answer!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to fraction

00:03 First match between digit position and appropriate division

00:06 Add 0 to fraction

00:10 Place the digits after the decimal point in numerator

00:13 And the position of the last digit in denominator

00:21 Multiply both numerator and denominator to find the appropriate fraction

00:28 And that's the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Convert into fraction form:

$0.05=$

2

Step-by-step solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

$\frac{005}{100}$

Let's remove the unnecessary zeros as follows:

$\frac{5}{100}$

Let's then proceed to multiply both numerator and denominator by 4 and we obtain the following:

$\frac{5\times4}{100\times4}=\frac{20}{400}$

3

Final Answer

$\frac{20}{400}$

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Two decimal places means divide by 100
Technique: Write $0.05 = \frac{5}{100}$ then find equivalent fractions
Check: Verify $\frac{20}{400} = 0.05$ by dividing 20 ÷ 400 ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator based on decimal places
Don't put 0.05 over 10 or 1000 = wrong fraction! Two decimal places means hundredths, not tenths or thousandths. Always count decimal places carefully: one place = tenths (10), two places = hundredths (100), three places = thousandths (1000).

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{5}{100}=$

FAQ

Everything you need to know about this question

Why isn't the answer just 5/100?

+

While $\frac{5}{100}$ equals 0.05, the question asks for a specific equivalent fraction from the given choices. We need to find which answer choice equals $\frac{5}{100}$ .

How do I know 20/400 equals 5/100?

+

Both fractions are equivalent because $\frac{20}{400} = \frac{5 \times 4}{100 \times 4} = \frac{5}{100}$ . When you multiply or divide both numerator and denominator by the same number, the fraction stays equal!

What if I can't remember the place value rules?

+

Count the digits after the decimal point! One digit = tenths (÷10), two digits = hundredths (÷100), three digits = thousandths (÷1000). So 0.05 has two digits, meaning hundredths.

Why do we multiply by 4 in the explanation?

+

We multiply by 4 to create the equivalent fraction that matches one of the answer choices. Since $\frac{5}{100} \times \frac{4}{4} = \frac{20}{400}$ , we can transform our answer to match the given options.

Can I just divide 20 by 400 to check?

+

Yes! That's a great way to verify: $20 ÷ 400 = 0.05$ . If your fraction choice gives you 0.05 when you divide, you've got the right answer!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

Converting 0.05 to Fraction Form: Decimal Transformation Exercise

Decimal Conversion with Place Value Recognition

❤️ Continue Your Math Journey!