Express 1.51 in Different Number Representations

Q: How do I know what denominator to use?

Count the decimal places! One place = tenths (denominator 10), two places = hundredths (denominator 100), three places = thousandths (denominator 1000).

Q: Why isn't the answer 1 15/100?

Because $ 1\frac{15}{100} = 1.15 $, not 1.51! The decimal 0.51 means 51 hundredths, so we need 51 in the numerator.

Q: What if the decimal has more places, like 1.517?

Count the places: 1.517 has three decimal places, so 0.517 = $ \frac{517}{1000} $, making the answer $ 1\frac{517}{1000} $.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to mixed number

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

00:08 Convert the remainder to fraction

00:15 Add to mixed number

00:19 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

$1.51=$

2

Step-by-step solution

To solve this problem, we must convert the decimal number $1.51$ into a mixed number.

Step 1: The given number $1.51$ consists of a whole number part and a decimal part. The whole number part is 1.

Step 2: The decimal part $.51$ can be expressed as a fraction. Since $.51$ means 51 hundredths, we write it as $\frac{51}{100}$ .

Step 3: Combine the whole number part (1) and the fractional part ( $\frac{51}{100}$ ) to express the decimal as a mixed number:

$1.51 = 1\frac{51}{100}$ .

Therefore, the solution to the problem is $1\frac{51}{100}$ .

3

Final Answer

$1\frac{51}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value: Read decimal places to determine correct denominator
Technique: 0.51 means 51 hundredths, so write $\frac{51}{100}$
Check: Verify $1\frac{51}{100} = 1 + 0.51 = 1.51$ ✓

Common Mistakes

Avoid these frequent errors

Using wrong denominator for decimal places
Don't write 0.51 as $\frac{51}{10}$ = 5.1! This ignores that 51 is in the hundredths place. Always count decimal places: two decimal 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 = tenths (denominator 10), two places = hundredths (denominator 100), three places = thousandths (denominator 1000).

Why isn't the answer 1 15/100?

+

Because $1\frac{15}{100} = 1.15$ , not 1.51! The decimal 0.51 means 51 hundredths, so we need 51 in the numerator.

Can I simplify the fraction 51/100?

+

Check if 51 and 100 have common factors. Since 51 = 3 × 17 and 100 = 4 × 25, they share no common factors, so $\frac{51}{100}$ is already in simplest form.

What if the decimal has more places, like 1.517?

+

Count the places: 1.517 has three decimal places, so 0.517 = $\frac{517}{1000}$ , making the answer $1\frac{517}{1000}$ .

How can I check if my mixed number is correct?

+

Convert it back to decimal! Divide the numerator by denominator and add to the whole number: $1 + \frac{51}{100} = 1 + 0.51 = 1.51$ ✓

🌟 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 1.51 in Different Number Representations

Decimal Conversion with Mixed Numbers

❤️ Continue Your Math Journey!