Convert Fraction 12/8 to Mixed Number: Step-by-Step Solution

Improper Fractions with Division Method

Write the fraction as a mixed number:

128= \frac{12}{8}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Write as a mixed fraction
00:03 Divide into whole number and remainder
00:08 Check how many times the denominator goes into the numerator
00:12 Subtract the whole number from the fraction to get the remainder
00:18 Subtract the whole number from the fraction to get the remainder
00:21 Combine into a mixed fraction
00:25 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

Write the fraction as a mixed number:

128= \frac{12}{8}=

2

Step-by-step solution

To solve this problem, we need to convert the improper fraction 128 \frac{12}{8} into a mixed number.

Here's how we'll do it:

  • The first step is to divide the numerator by the denominator: 12÷8 12 \div 8 .
  • This division gives us a quotient of 1 and a remainder of 4.
  • The quotient, 1, becomes the whole number part of our mixed number.
  • The remainder is used as the new numerator over the original denominator to form the fractional part: 48\frac{4}{8}.
  • The mixed number is thus 148 1\frac{4}{8} .
  • Finally, since 48\frac{4}{8} can be simplified, we reduce it to 12\frac{1}{2}.

Thus, the mixed number representation is correctly simplified as 112 1\frac{1}{2} .

However, when selecting from the given choices, the correct choice based on the options provided is 148 1\frac{4}{8} (Choice 4), which matches the unsimplified form.

Therefore, the solution to the problem is 148 1\frac{4}{8} .

3

Final Answer

148 1\frac{4}{8}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Divide numerator by denominator to find whole number part
  • Technique: Use remainder as new numerator: 12 ÷ 8 = 1 R4
  • Check: Convert back: 148=128 1\frac{4}{8} = \frac{12}{8}

Common Mistakes

Avoid these frequent errors
  • Forgetting to use the remainder correctly
    Don't just write the quotient as the answer = incomplete mixed number! The remainder becomes the new numerator over the original denominator. Always use remainder/original denominator for the fractional part.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction as a mixed number:

\( \frac{10}{7}= \)

FAQ

Everything you need to know about this question

Why isn't 112 1\frac{1}{2} listed as an answer choice?

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The answer choices show unsimplified fractions. While 112 1\frac{1}{2} is the simplified form, 148 1\frac{4}{8} is also correct and matches the given options.

How do I know when a fraction is improper?

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A fraction is improper when the numerator is greater than or equal to the denominator. Since 12 > 8, 128 \frac{12}{8} is improper and can be converted to a mixed number.

What if the division doesn't have a remainder?

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If there's no remainder, your answer is just a whole number! For example, 168=2 \frac{16}{8} = 2 with no fractional part.

Do I always need to simplify the fractional part?

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It depends on what the problem asks for. Always read carefully - some problems want the simplified form, others accept the unsimplified version like in this question.

Can I use a calculator for the division?

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Yes, but be careful! Calculators give decimal answers like 1.5. You need to convert the decimal part back to a fraction: 0.5 = 12 \frac{1}{2} .

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