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

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 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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