Convert Mixed Number to Decimal: 3 6/20 Calculation

Mixed Number Conversion with Fraction Simplification

3620= 3\frac{6}{20}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's start by converting the number into a decimal fraction.
00:08 Now, break the number into a whole number and a fraction part.
00:13 Then, simplify the fraction by dividing both the top number, which is the numerator, and the bottom number, the denominator, by their greatest common factor.
00:29 Once simplified, convert the fraction into a decimal form.
00:40 Add the whole number and the decimal together to find the answer.
00:48 And that gives us the solution to the problem! Great work!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

3620= 3\frac{6}{20}=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the fraction 620 \frac{6}{20} to a decimal.
  • Step 2: Add the decimal result to the whole number 3.

Now, let's work through each step:
Step 1: Convert the fraction 620 \frac{6}{20} to a decimal.
Simplify the fraction 620 \frac{6}{20} by dividing the numerator and denominator by 2:
620=310 \frac{6}{20} = \frac{3}{10} .
Convert 310 \frac{3}{10} into a decimal, which is 0.3 0.3 .

Step 2: Add the decimal result to the whole number 3.
We have the whole number 3 and the decimal 0.3; add them together:
3+0.3=3.3 3 + 0.3 = 3.3 .

Therefore, when converted to a decimal, 3620 3\frac{6}{20} equals 3.3 3.3 .

Therefore, the solution to the problem is 3.3 \text{3}.3 .

3

Final Answer

3.3 \text{3}.3

Key Points to Remember

Essential concepts to master this topic
  • Rule: Always simplify fractions before converting to decimal form
  • Technique: Divide 620 \frac{6}{20} by 2 to get 310=0.3 \frac{3}{10} = 0.3
  • Check: Verify that 3 + 0.3 = 3.3 matches the original mixed number ✓

Common Mistakes

Avoid these frequent errors
  • Converting fractions to decimals without simplifying first
    Don't divide 6 ÷ 20 directly using long division = more complex calculation! This makes the problem unnecessarily difficult and increases chances of arithmetic errors. Always simplify the fraction first to get easier numbers like 3 ÷ 10.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

\( 0.38= \)

FAQ

Everything you need to know about this question

Why do I need to simplify the fraction before converting?

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Simplifying makes the conversion much easier! Converting 310 \frac{3}{10} to 0.3 is simpler than dividing 6 by 20. Plus, you're less likely to make arithmetic mistakes.

How do I know if a fraction can be simplified?

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Look for common factors in the numerator and denominator. For 620 \frac{6}{20} , both 6 and 20 are divisible by 2, so you can simplify by dividing both by 2.

What if I can't see the common factor right away?

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Try dividing both numbers by small primes like 2, 3, or 5. For example, since 6 and 20 are both even, start by dividing by 2. Keep going until no more common factors exist!

Can I convert without simplifying and still get the right answer?

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Yes, you'll get the same answer, but it's harder! Dividing 6 ÷ 20 = 0.30, which equals 0.3. However, working with simpler numbers reduces calculation errors.

How do I add the whole number and decimal parts?

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Just add them directly: 3 + 0.3 = 3.3. The whole number stays the same, and you add the decimal part. Think of it as 3.0 + 0.3 = 3.3 if that helps!

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