Convert 0.04 to a Reduced Fraction: Decimal Transformation

Q: How do I know what denominator to use?

Count the decimal places! One place = 10, two places = 100, three places = 1000. Since 0.04 has two decimal places, use 100 as the denominator.

Q: Can I simplify before converting to a fraction?

No! Always convert the decimal to a fraction first, then simplify. You need the original fraction $ \frac{4}{100} $ before reducing it.

Q: How do I check if my fraction is fully reduced?

Your fraction is fully reduced when the numerator and denominator share no common factors except 1. For $ \frac{1}{25} $, 1 and 25 have no common factors!

Q: What if the decimal has more than 2 places?

Same method! Three places = denominator 1000, four places = denominator 10000. Just count the digits after the decimal point.

Decimal to Fraction with Place Value Recognition

Write 0.04 as a fraction and reduce.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to a simple and reduced fraction

00:03 Place the digits in the numerator

00:07 Move the decimal point right until the number is whole and not decimal

00:12 We moved 2 times, so the denominator will be equal to 100

00:17 Now we'll reduce as much as possible

00:23 We'll break down 100 into factors 4 and 25

00:30 We'll reduce what we can

00:35 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

Write 0.04 as a fraction and reduce.

Step-by-step solution

To solve the problem of writing 0.04 as a fraction, we will follow these steps:

Step 1: Identify the decimal and its place value.
Step 2: Convert the decimal to an equivalent fraction.
Step 3: Simplify the fraction to its simplest form.

Let's work through each step:

Step 1: The given decimal is 0.04. Recognizing that 0.04 is in the "hundredths" place, we can express it as:

$0.04 = \frac{4}{100}$

Step 2: Next, we simplify the fraction $\frac{4}{100}$ . To do this, we find the greatest common divisor (GCD) of 4 and 100, which is 4.

Step 3: Divide the numerator and the denominator by their GCD:

$\frac{4}{100} = \frac{4 \div 4}{100 \div 4} = \frac{1}{25}$

Therefore, the fraction representation of the decimal 0.04, in simplest form, is $\frac{1}{25}$ .

Final Answer

$\frac{1}{25}$

Key Points to Remember

Essential concepts to master this topic

Place Value: Hundredths place means denominator is 100
Technique: $0.04 = \frac{4}{100}$ then find GCD of 4 and 100
Check: $\frac{1}{25} = 0.04$ by dividing 1 ÷ 25 ✓

Common Mistakes

Avoid these frequent errors

Using wrong place value as denominator
Don't put 0.04 over 10 = $\frac{4}{10}$ ! This ignores the hundredths place value and gives wrong answer. Always count decimal places: two places means denominator 100.

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

How do I know what denominator to use?

Count the decimal places! One place = 10, two places = 100, three places = 1000. Since 0.04 has two decimal places, use 100 as the denominator.

What if I can't find the GCD easily?

Start with small numbers! Try dividing both numerator and denominator by 2, then 3, then 4, etc. For $\frac{4}{100}$ , both are divisible by 4.

Can I simplify before converting to a fraction?

No! Always convert the decimal to a fraction first, then simplify. You need the original fraction $\frac{4}{100}$ before reducing it.

How do I check if my fraction is fully reduced?

Your fraction is fully reduced when the numerator and denominator share no common factors except 1. For $\frac{1}{25}$ , 1 and 25 have no common factors!

What if the decimal has more than 2 places?

Same method! Three places = denominator 1000, four places = denominator 10000. Just count the digits after the decimal point.

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