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

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

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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