Convert Mixed Number: Transforming 3 1/25 to Decimal

Q: Why can't I just divide 1 by 25 on a calculator?

You absolutely can! Dividing 1 ÷ 25 = 0.04 gives the same result. The fraction method helps you understand why it works and builds number sense for mental math.

Q: How do I know what to multiply by to get 100 in the denominator?

Ask yourself: "What times 25 equals 100?" Since 25 × 4 = 100, multiply both numerator and denominator by 4. This works for any fraction!

Q: What if the denominator doesn't divide evenly into 100?

Then use long division or a calculator to convert the fraction to decimal. For example, $ \frac{1}{3} = 0.333... $ (repeating decimal).

Q: Can I convert to a different denominator instead of 100?

Yes! You could use 1000 (giving $ \frac{40}{1000} = 0.040 $) or any power of 10. Using 100 is easiest because it directly shows hundredths place value.

Q: How do I check if my decimal answer is correct?

Convert your decimal back to a fraction: 3.04 = 3 + 0.04 = 3 + $ \frac{4}{100} $ = 3 + $ \frac{1}{25} $. If you get the original mixed number, you're right!

Mixed Number Conversion with Decimal Equivalents

$3\frac{1}{25}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's convert the number into a decimal fraction.

00:07 First, break it down into a whole number and a fraction.

00:13 We want the denominator to be a multiple of ten.

00:18 Remember to multiply both the numerator and denominator the same way.

00:28 Now, let's turn that into a decimal fraction.

00:40 Add the parts together.

00:49 And that's how you solve the problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$3\frac{1}{25}=$

Step-by-step solution

To convert the mixed number $3\frac{1}{25}$ to a decimal, follow these steps:

Step 1: Identify the fraction part $\frac{1}{25}$ .
Step 2: Convert $\frac{1}{25}$ to an equivalent fraction with a denominator of 100, which involves multiplying both the numerator and the denominator by 4:

$\frac{1}{25} \times \frac{4}{4} = \frac{4}{100}$ .

Step 3: Convert the fraction $\frac{4}{100}$ to a decimal, which is $0.04$ .
Step 4: Add this decimal to the whole number 3 to get the final decimal:

3 + 0.04 = 3.04

Thus, the mixed number $3\frac{1}{25}$ converts to the decimal $3.04$ .

The correct answer is $3.04$ .

Final Answer

$\text{3}.04$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fraction part to decimal, then add to whole number
Technique: Transform $\frac{1}{25}$ to $\frac{4}{100}$ by multiplying by $\frac{4}{4}$
Check: Verify 3.04 = 3 + 0.04 and $\frac{4}{100} = 0.04$ ✓

Common Mistakes

Avoid these frequent errors

Adding fraction directly to whole number without converting
Don't add 3 + 1/25 thinking it equals 3.1 or 3.25 = wrong decimal! The fraction must be converted to decimal form first. Always convert the fraction part to decimal, then add to the whole number.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

$$ 0.38= $$

FAQ

Everything you need to know about this question

Why can't I just divide 1 by 25 on a calculator?

You absolutely can! Dividing 1 ÷ 25 = 0.04 gives the same result. The fraction method helps you understand why it works and builds number sense for mental math.

How do I know what to multiply by to get 100 in the denominator?

Ask yourself: "What times 25 equals 100?" Since 25 × 4 = 100, multiply both numerator and denominator by 4. This works for any fraction!

What if the denominator doesn't divide evenly into 100?

Then use long division or a calculator to convert the fraction to decimal. For example, $\frac{1}{3} = 0.333...$ (repeating decimal).

Can I convert to a different denominator instead of 100?

Yes! You could use 1000 (giving $\frac{40}{1000} = 0.040$ ) or any power of 10. Using 100 is easiest because it directly shows hundredths place value.

How do I check if my decimal answer is correct?

Convert your decimal back to a fraction: 3.04 = 3 + 0.04 = 3 + $\frac{4}{100}$ = 3 + $\frac{1}{25}$ . If you get the original mixed number, you're right!

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