Convert Mixed Number 3 7/100 to Decimal Form: Step-by-Step

Q: Why is 7/100 equal to 0.07 and not 0.7?

The denominator tells you the decimal place! 100 has 2 zeros, so the 7 goes in the hundredths place (second spot after decimal). Think: 7 out of 100 pennies = 7 cents = $0.07.

Q: How do I remember which decimal place to use?

Count the zeros in the denominator! 10 = 1 zero = tenths, 100 = 2 zeros = hundredths, 1000 = 3 zeros = thousandths. The number of zeros tells you how many places after the decimal point.

Q: What if I got 3.007 as my answer?

You put the 7 in the thousandths place instead of hundredths! Remember: $ \frac{7}{100} $ means 7 hundredths, not 7 thousandths. Always match the denominator to the correct decimal place.

Q: How can I check if 3.07 is correct?

Convert back to a mixed number! 3.07 = 3 + 0.07 = 3 + $ \frac{7}{100} $ = $ 3\frac{7}{100} $. If you get the original mixed number, you're right!

Q: Is there a shortcut for fractions with 100 in the denominator?

Yes! When the denominator is 100, just move the numerator two decimal places to the right. So $ \frac{7}{100} $ becomes 0.07, and $ \frac{25}{100} $ becomes 0.25.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

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

00:09 When the denominator equals 100, place the numerator 2 digits after

00:25 Add to decimal fraction

00:29 Use long addition for calculation

00:34 Calculate and place accordingly

00:50 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

Convert $3\frac{7}{100}$ into a decimal.

2

Step-by-step solution

To solve this problem, we need to convert the given mixed number $3\frac{7}{100}$ into a decimal.

Step 1: Identify the fraction part of the mixed number, which is $\frac{7}{100}$ .

Step 2: Convert the fraction $\frac{7}{100}$ into a decimal. Since the denominator is 100, which is convenient for direct conversion, you simply interpret it as the number of hundredths:
$\frac{7}{100} = 0.07$

Step 3: Combine this decimal with the whole number part of the mixed number. The integer part of the mixed number is 3. Therefore, adding the decimal we found:
$3 + 0.07 = 3.07$

Thus, the decimal representation of $3\frac{7}{100}$ is $\mathbf{3.07}$ .

3

Final Answer

3.07

Key Points to Remember

Essential concepts to master this topic

Rule: Mixed number = whole number + fraction part
Technique: Convert $\frac{7}{100}$ = 7 hundredths = 0.07
Check: 3.07 = 3 + 0.07 = $3\frac{7}{100}$ ✓

Common Mistakes

Avoid these frequent errors

Writing 7 in wrong decimal place
Don't write $\frac{7}{100}$ as 0.7 = wrong answer 3.7! The denominator 100 means hundredths place, not tenths. Always count decimal places: 100 has 2 zeros, so 7 goes in the hundredths place as 0.07.

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

Why is 7/100 equal to 0.07 and not 0.7?

+

The denominator tells you the decimal place! 100 has 2 zeros, so the 7 goes in the hundredths place (second spot after decimal). Think: 7 out of 100 pennies = 7 cents = $0.07.

How do I remember which decimal place to use?

+

Count the zeros in the denominator! 10 = 1 zero = tenths, 100 = 2 zeros = hundredths, 1000 = 3 zeros = thousandths. The number of zeros tells you how many places after the decimal point.

What if I got 3.007 as my answer?

+

You put the 7 in the thousandths place instead of hundredths! Remember: $\frac{7}{100}$ means 7 hundredths, not 7 thousandths. Always match the denominator to the correct decimal place.

How can I check if 3.07 is correct?

+

Convert back to a mixed number! 3.07 = 3 + 0.07 = 3 + $\frac{7}{100}$ = $3\frac{7}{100}$ . If you get the original mixed number, you're right!

Is there a shortcut for fractions with 100 in the denominator?

+

Yes! When the denominator is 100, just move the numerator two decimal places to the right. So $\frac{7}{100}$ becomes 0.07, and $\frac{25}{100}$ becomes 0.25.

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Convert Mixed Number 3 7/100 to Decimal Form: Step-by-Step

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