Express 7.13 in Different Mathematical Forms: Decimal Conversion

Q: How do I know what denominator to use for the decimal part?

Count the decimal places! One decimal place = 10, two decimal places = 100, three = 1000. Since 0.13 has two decimal places, use 100.

Q: Why is 7.13 not equal to 7 11/100?

Because $ 7\frac{11}{100} = 7.11 $, not 7.13! The numerator must match the decimal digits exactly: 13 in the decimal becomes 13 in the numerator.

Q: What if I have a longer decimal like 7.135?

Count three decimal places, so use 1000: $ 7.135 = 7\frac{135}{1000} $. Then simplify if possible by finding common factors.

Q: How can I check my answer is correct?

Convert your mixed number back to decimal: $ 7\frac{13}{100} = 7 + \frac{13}{100} = 7 + 0.13 = 7.13 $ ✓

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to mixed fraction

00:03 Break down the number into whole number and remainder

00:07 Convert the remainder to a fraction

00:18 Combine into a mixed fraction

00:22 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

$7.13=$

2

Step-by-step solution

To convert the decimal 7.13 into a mixed number with 100 as the denominator, we follow these steps:

Step 1: Identify the integer part of the decimal, which is 7.
Step 2: Convert the decimal part 0.13 into a fraction.
- The number 13 is in the hundredths place, which translates to the fraction $\frac{13}{100}$ .
Step 3: Combine the integer part with the fractional part to form the mixed number:
- Therefore, $7.13 = 7 \frac{13}{100}$ .

As a result, the decimal 7.13 is equivalent to the mixed number $7\frac{13}{100}$ .

3

Final Answer

$7\frac{13}{100}$

Key Points to Remember

Essential concepts to master this topic

Rule: Decimal places determine denominator power of 10
Technique: 0.13 has 2 decimal places = $\frac{13}{100}$
Check: Convert back: $7\frac{13}{100} = 7 + 0.13 = 7.13$ ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator for decimal places
Don't put 0.13 as $\frac{13}{10}$ = 1.3, not 0.13! This happens when you count decimal places wrong. Always count carefully: 0.13 has 2 decimal places, so use 100 as denominator.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

How do I know what denominator to use for the decimal part?

+

Count the decimal places! One decimal place = 10, two decimal places = 100, three = 1000. Since 0.13 has two decimal places, use 100.

Why is 7.13 not equal to 7 11/100?

+

Because $7\frac{11}{100} = 7.11$ , not 7.13! The numerator must match the decimal digits exactly: 13 in the decimal becomes 13 in the numerator.

Can I simplify the fraction 13/100?

+

Check if 13 and 100 share common factors. Since 13 is prime and doesn't divide 100, $\frac{13}{100}$ is already in lowest terms.

What if I have a longer decimal like 7.135?

+

Count three decimal places, so use 1000: $7.135 = 7\frac{135}{1000}$ . Then simplify if possible by finding common factors.

How can I check my answer is correct?

+

Convert your mixed number back to decimal: $7\frac{13}{100} = 7 + \frac{13}{100} = 7 + 0.13 = 7.13$ ✓

🌟 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

Express 7.13 in Different Mathematical Forms: Decimal Conversion

Decimal Conversion with Mixed Numbers

❤️ Continue Your Math Journey!