Convert Mixed Number 1½ to a Decimal

Mixed Number Conversion with Decimal Form

112= 1\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
00:07 We want to convert from fraction to decimal fraction, so we'll change the denominator to 10
00:13 Make sure to multiply both numerator and denominator
00:23 Convert fraction to decimal fraction
00:28 Let's add
00:39 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

112= 1\frac{1}{2}=

2

Step-by-step solution

To solve this problem, we'll convert the mixed number 112 1\frac{1}{2} into a decimal:

First, we need to convert 12\frac{1}{2} into a decimal. The fraction 12\frac{1}{2} is equivalent to 510\frac{5}{10}, because multiplying both the numerator and the denominator by 5 gives us:

  • 1×52×5=510\frac{1 \times 5}{2 \times 5} = \frac{5}{10}

Thus, 12\frac{1}{2} can be represented as 0.50.5 in decimal form.

Next, we incorporate this decimal into the whole number part of our mixed number. Our mixed number was 1121\frac{1}{2}, so we simply add the decimal 0.50.5 to the whole number 1:

  • Whole number: 1
  • Decimal from fraction: 0.5

By combining these values, we have:

  • 1+0.5=1.51 + 0.5 = 1.5

The decimal representation of 1121\frac{1}{2} is therefore 1.51.5.

Therefore, the correct answer is 1.51.5.

3

Final Answer

1.5 1.5

Key Points to Remember

Essential concepts to master this topic
  • Rule: Convert fraction part to decimal, then add to whole number
  • Technique: 12=510=0.5 \frac{1}{2} = \frac{5}{10} = 0.5 by multiplying by 5
  • Check: Verify by converting back: 1.5 = 1510=112 1\frac{5}{10} = 1\frac{1}{2}

Common Mistakes

Avoid these frequent errors
  • Adding the fraction denominator to the whole number
    Don't add 1 + 2 = 3 from 112 1\frac{1}{2} ! This ignores the fraction's actual value and gives completely wrong results. Always convert the fraction to decimal first, then add to the whole number.

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 can't I just write 1.12 for 112 1\frac{1}{2} ?

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That's a common mistake! The fraction part 12 \frac{1}{2} doesn't become 0.12 in decimal form. You need to divide 1 ÷ 2 = 0.5, then add to get 1.5.

How do I convert fractions like 12 \frac{1}{2} to decimals?

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There are two ways: divide the numerator by denominator (1 ÷ 2 = 0.5) or find an equivalent fraction with denominator 10, 100, etc. (12=510=0.5 \frac{1}{2} = \frac{5}{10} = 0.5 ).

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...). For these problems, the answer choices usually work out to exact decimals, so double-check your fraction conversion.

Do I always add the decimal to the whole number?

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Yes! Mixed numbers mean whole number PLUS fraction. So 112 1\frac{1}{2} means 1 + 0.5 = 1.5. The whole number and fraction are always added together.

How can I check if 1.5 is really equal to 112 1\frac{1}{2} ?

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Convert back! Take the decimal part (0.5) and turn it into a fraction: 0.5 = 510=12 \frac{5}{10} = \frac{1}{2} . So 1.5 = 112 1\frac{1}{2}

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