Convert Mixed Number: Simplifying 2 31/100 to Decimal Form

Q: Why does 31/100 become 0.31 and not 0.3?

The denominator 100 tells you exactly how many decimal places you need! Since 100 has two zeros, you need two decimal places. So 31/100 = 0.31, not 0.3.

Q: What if the fraction doesn't divide evenly?

Sometimes you'll get repeating decimals! For example, $ \frac{1}{3} = 0.333... $ Just write as many decimal places as needed or use the repeating decimal notation.

Q: Can I convert the mixed number a different way?

Yes! You can first convert to an improper fraction: $ 2\frac{31}{100} = \frac{231}{100} $, then divide 231 ÷ 100 = 2.31. Both methods give the same answer!

Q: How do I know which decimal place to stop at?

Look at the denominator! If it's 10, you need 1 decimal place. If it's 100, you need 2 decimal places. If it's 1000, you need 3 decimal places, and so on.

Q: What if I get confused about place values?

Remember: the first decimal place is tenths, the second is hundredths. Since we have $ \frac{31}{100} $, the 31 goes in the hundredths places: 0.31.

Mixed Number Conversion with Hundredths Place

$2\frac{31}{100}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's start by converting this into a decimal fraction.

00:08 We will break down the number into a whole number and a fractio n.

00:13 Now, we convert this into a decimal fraction.

00:19 Next, we add everything together.

00:32 And that's how we solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$2\frac{31}{100}=$

Step-by-step solution

To solve the problem of converting the mixed number $2\frac{31}{100}$ into a decimal:

First, identify the whole number part, which is $2$ .
Second, convert the fractional part $\frac{31}{100}$ into a decimal by dividing the numerator by the denominator: $31 \div 100 = 0.31$ .
Combine the whole number with the decimal part: $2 + 0.31 = 2.31$ .

By following these steps, we find the decimal representation is $2.31$ .

The correct multiple-choice answer is option 2: $2.31$ .

Final Answer

$2.31$

Key Points to Remember

Essential concepts to master this topic

Mixed Numbers: Separate whole number from fractional part completely
Division Method: Calculate 31 ÷ 100 = 0.31 for decimal conversion
Verification: Check that 2 + 0.31 = 2.31 matches original mixed number ✓

Common Mistakes

Avoid these frequent errors

Converting fraction incorrectly to decimal
Don't just write 31/100 as 0.3! This ignores the hundredths place and gives 2.3 instead of 2.31. The denominator 100 means you need two decimal places. Always divide completely: 31 ÷ 100 = 0.31.

Practice Quiz

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How much of the whole does the shaded area (blue) represent?

FAQ

Everything you need to know about this question

Why does 31/100 become 0.31 and not 0.3?

The denominator 100 tells you exactly how many decimal places you need! Since 100 has two zeros, you need two decimal places. So 31/100 = 0.31, not 0.3.

What if the fraction doesn't divide evenly?

Sometimes you'll get repeating decimals! For example, $\frac{1}{3} = 0.333...$ Just write as many decimal places as needed or use the repeating decimal notation.

Can I convert the mixed number a different way?

Yes! You can first convert to an improper fraction: $2\frac{31}{100} = \frac{231}{100}$ , then divide 231 ÷ 100 = 2.31. Both methods give the same answer!

How do I know which decimal place to stop at?

Look at the denominator! If it's 10, you need 1 decimal place. If it's 100, you need 2 decimal places. If it's 1000, you need 3 decimal places, and so on.

What if I get confused about place values?

Remember: the first decimal place is tenths, the second is hundredths. Since we have $\frac{31}{100}$ , the 31 goes in the hundredths places: 0.31.

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