Convert Mixed Number: Simplifying 2 1/50 to Decimal Form

Q: Why do I need to convert the fraction to have 100 as the denominator?

Converting to a denominator of 100 makes decimal conversion easy! Since $ \frac{2}{100} = 0.02 $, you can immediately see the decimal equivalent without complex division.

Q: How do I know where to place the decimal point?

When converting $ \frac{2}{100} $, remember that hundredths means two decimal places. So 2 hundredths = 0.02, not 0.2 or 0.002.

Q: Can I just estimate the decimal instead of calculating?

Always calculate exactly! Estimating might work for checking, but you need the precise decimal for the correct answer. $ \frac{1}{50} $ is exactly 0.02, not approximately 0.02.

Q: What's the fastest way to convert mixed numbers to decimals?

For quick conversion: Keep the whole number part, convert just the fraction to decimal, then add them. So $ 2\frac{1}{50} = 2 + 0.02 = 2.02 $!

Mixed Number Conversion with Decimal Equivalents

$2\frac{1}{50}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 First, let's convert the number into a decimal fraction.

00:07 Break the number down into its whole number and fraction parts.

00:11 Aim to make the denominator a multiple of ten. Got that?

00:15 Now, multiply both the numerator and the denominator by the right number.

00:24 Great, it's time to write it as a decimal fraction.

00:35 Next, add them up carefully.

00:51 And that’s how we solve the problem. Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$2\frac{1}{50}=$

Step-by-step solution

To convert the mixed number $2\frac{1}{50}$ to a decimal, we follow these steps:

Step 1: Convert the fraction $\frac{1}{50}$ to have a denominator of 100. We do this by multiplying both the numerator and the denominator by 2:

\frac{1 \times 2}{50 \times 2} = \frac{2}{100}

Step 2: Convert $\frac{2}{100}$ to a decimal. Since $\frac{2}{100} = 0.02$ , the fractional part becomes 0.02.
Step 3: Combine the integer part with the decimal fraction. The integer part is 2. Therefore, we add 0.02 to 2:

2 + 0.02 = 2.02

Thus, the solution to the problem is $\text{2}.02$ .

Final Answer

$\text{2}.02$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fraction part to decimal, then add to whole number
Technique: Transform $\frac{1}{50}$ to $\frac{2}{100} = 0.02$ by multiplying by 2
Check: Verify 2.02 = 2 + 0.02 = $2\frac{1}{50}$ ✓

Common Mistakes

Avoid these frequent errors

Adding incorrectly or using wrong decimal place values
Don't convert $\frac{1}{50}$ to 0.2 or 0.002 = wrong decimal! This happens when students don't properly convert to hundredths or place decimals incorrectly. Always convert fractions with denominators of 50 to equivalent fractions with denominator 100 first.

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 do I need to convert the fraction to have 100 as the denominator?

Converting to a denominator of 100 makes decimal conversion easy! Since $\frac{2}{100} = 0.02$ , you can immediately see the decimal equivalent without complex division.

What if the denominator doesn't easily convert to 100?

You can always divide the numerator by the denominator directly! For example, $\frac{1}{50} = 1 ÷ 50 = 0.02$ . Both methods give the same answer.

How do I know where to place the decimal point?

When converting $\frac{2}{100}$ , remember that hundredths means two decimal places. So 2 hundredths = 0.02, not 0.2 or 0.002.

Can I just estimate the decimal instead of calculating?

Always calculate exactly! Estimating might work for checking, but you need the precise decimal for the correct answer. $\frac{1}{50}$ is exactly 0.02, not approximately 0.02.

What's the fastest way to convert mixed numbers to decimals?

For quick conversion: Keep the whole number part, convert just the fraction to decimal, then add them. So $2\frac{1}{50} = 2 + 0.02 = 2.02$ !

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