Convert 2.07: Express the Decimal in Different Number Forms

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

Look at the rightmost decimal place! In 2.07, the 7 is in the hundredths place, so use 100 as the denominator. One decimal place = tenths (10), two decimal places = hundredths (100), three = thousandths (1000).

Q: Can I simplify the fraction 7/100?

Check if the numerator and denominator share any common factors. Since 7 is prime and doesn't divide 100, $ \frac{7}{100} $ is already in simplest form.

Q: How do I write this as an improper fraction instead?

Convert the whole number to the same denominator: $ 2 = \frac{200}{100} $, then add: $ \frac{200}{100} + \frac{7}{100} = \frac{207}{100} $

Q: What's the difference between 2.07 and 2.7?

Place value matters! 2.07 = $ 2\frac{7}{100} $ while 2.7 = $ 2\frac{7}{10} $. The zero shows that 2.07 is smaller than 2.7.

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 fraction

00:14 Add to mixed fraction

00:18 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

$2.07=$

2

Step-by-step solution

To convert the decimal number $2.07$ into a fraction or mixed number, we follow these steps:

Step 1: Identify the whole number part and the decimal part.
Here, $2.07$ has a whole number part of $2$ and a decimal part of $0.07$ .
Step 2: Convert the decimal part $0.07$ into a fraction.
Since $0.07$ is seventy hundredths, it can be expressed as $\frac{7}{100}$ .
Step 3: Combine the whole number and the fraction.
The mixed number representation of $2.07$ is therefore $2\frac{7}{100}$ .

By following these steps, we find that the decimal $2.07$ is equivalent to the mixed number $2\frac{7}{100}$ .

3

Final Answer

$2\frac{7}{100}$

Key Points to Remember

Essential concepts to master this topic

Place Value: Identify decimal place value to determine denominator
Technique: 0.07 becomes 7/100 since 7 is in hundredths place
Check: Convert back: 2 + 7/100 = 2.07 ✓

Common Mistakes

Avoid these frequent errors

Writing the wrong whole number part
Don't write 1 7/100 or 3 7/100 when converting 2.07! This ignores the actual whole number part. The decimal 2.07 clearly shows 2 as the whole number. Always identify the whole number part first - it's everything before the decimal point.

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 for the fraction part?

+

Look at the rightmost decimal place! In 2.07, the 7 is in the hundredths place, so use 100 as the denominator. One decimal place = tenths (10), two decimal places = hundredths (100), three = thousandths (1000).

What if the decimal has zeros like 2.07?

+

The zero in the tenths place is important! It means we have zero tenths and seven hundredths. Don't ignore it - write $\frac{7}{100}$ , not $\frac{7}{10}$ .

Can I simplify the fraction 7/100?

+

Check if the numerator and denominator share any common factors. Since 7 is prime and doesn't divide 100, $\frac{7}{100}$ is already in simplest form.

How do I write this as an improper fraction instead?

+

Convert the whole number to the same denominator: $2 = \frac{200}{100}$ , then add: $\frac{200}{100} + \frac{7}{100} = \frac{207}{100}$

What's the difference between 2.07 and 2.7?

+

Place value matters! 2.07 = $2\frac{7}{100}$ while 2.7 = $2\frac{7}{10}$ . The zero shows that 2.07 is smaller than 2.7.

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Convert 2.07: Express the Decimal in Different Number Forms

Decimal to Mixed Number Conversion

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