Convert Mixed Number to Decimal: 6½ Step-by-Step

Mixed Number Conversion with Fraction Simplification

612= 6\frac{1}{2}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert to decimal fraction
00:03 Break down into whole number and fraction
00:06 We want to convert from fraction to decimal fraction, so we'll change the denominator to 10
00:10 Make sure to multiply both numerator and denominator
00:20 Convert from fraction to decimal fraction
00:28 Add
00:38 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

612= 6\frac{1}{2}=

2

Step-by-step solution

To solve this problem, we'll convert the mixed number 612 6\frac{1}{2} into a decimal by addressing the fractional part:

Step 1: Convert 12\frac{1}{2} to a decimal.

  • Recall that 12=0.5\frac{1}{2} = 0.5. This equivalence is well-known and straightforward because dividing 1 by 2 gives 0.5.
  • Additionally, using the instruction to convert by bringing the denominator to 10 or 100, conceptually 12×55=510=0.5 \frac{1}{2} \times \frac{5}{5} = \frac{5}{10} = 0.5 .

Step 2: Add the decimal equivalent of the fraction to the whole number part.

  • The whole number part of the mixed number is 6.
  • Combine the whole number part with the decimal form of the fraction: 6+0.5=6.56 + 0.5 = 6.5.

Thus, the decimal representation of 612 6\frac{1}{2} is 6.5 6.5 .

As it pertains to the given answer choices, the correct choice is 2: 6.5 6.5 . This matches our derived answer.

3

Final Answer

6.5 6.5

Key Points to Remember

Essential concepts to master this topic
  • Mixed Numbers: Add whole part to decimal of fraction part
  • Fraction Method: Convert 12 \frac{1}{2} to 0.5 by division
  • Verification: Check that 6 + 0.5 = 6.5 matches original 612 6\frac{1}{2}

Common Mistakes

Avoid these frequent errors
  • Ignoring the whole number part
    Don't convert just 12 \frac{1}{2} to 0.5 and forget the 6 = wrong answer 0.5! The whole number part must be included in your final decimal. Always add the whole number to the decimal form of the fraction.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

\( 0.38= \)

FAQ

Everything you need to know about this question

Why can't I just write 6.1/2 as my answer?

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That's not proper decimal notation! A decimal can only have digits after the decimal point, not fractions. You must convert the fraction part completely to decimal form.

How do I convert 1/2 to decimal if I forget it equals 0.5?

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Simply divide: 1 ÷ 2 = 0.5. You can also think of it as 12=510=0.5 \frac{1}{2} = \frac{5}{10} = 0.5 by multiplying top and bottom by 5.

What if the fraction doesn't convert to a nice decimal?

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Some fractions like 13 \frac{1}{3} give repeating decimals (0.333...). In those cases, you might round to a certain number of decimal places or leave as a fraction.

Do I always add the whole number and fraction parts?

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Yes, always! A mixed number means the whole part plus the fractional part. So 612 6\frac{1}{2} literally means 6 + 12 \frac{1}{2} .

Can I check my answer another way?

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Yes! Convert your decimal back to a mixed number. Since 6.5 = 6 + 0.5 = 6 + 12 \frac{1}{2} = 612 6\frac{1}{2} , you get the original number back!

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