Convert Improper Fraction 10/6 to Mixed Number Format

Fraction Conversion with Division Method

Write the fraction as a mixed number:

106= \frac{10}{6}=

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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
00:04 Divide into whole number and remainder
00:07 Check how many times the denominator goes into the numerator
00:10 Subtract the whole number from the fraction to get the remainder
00:15 Convert to mixed fraction
00:19 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:

106= \frac{10}{6}=

2

Step-by-step solution

To solve the problem of converting the improper fraction 106 \frac{10}{6} to a mixed number, follow these steps:

  • Step 1: Divide the numerator (10) by the denominator (6). The result is 10÷6=1 10 \div 6 = 1 with a remainder of 4.
  • Step 2: The quotient (1) becomes the whole number part of the mixed number.
  • Step 3: The remainder (4) forms the numerator of the fraction, while the original denominator (6) remains the same, giving us 46 \frac{4}{6} .
  • Step 4: Simplify the fraction 46 \frac{4}{6} by dividing both the numerator and the denominator by their greatest common divisor, which is 2, resulting in 23 \frac{2}{3} .

Thus, the improper fraction 106 \frac{10}{6} can be expressed as the mixed number 123 1\frac{2}{3} .

Comparing this with the answer choices, we see that choice "146\frac{4}{6}" before simplification aligns with our calculations, and simplification details the fraction.

Therefore, the solution to the problem is 123 1\frac{2}{3} or as above in the original fraction form before simplification.

3

Final Answer

146 1\frac{4}{6}

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: 10 ÷ 6 = 1 remainder 4
  • Check: Convert back: 146=6+46=106 1\frac{4}{6} = \frac{6+4}{6} = \frac{10}{6}

Common Mistakes

Avoid these frequent errors
  • Forgetting to simplify the fractional part
    Don't leave 146 1\frac{4}{6} as your final answer = incomplete solution! The fraction 4/6 can be simplified to 2/3. Always reduce fractions to lowest terms by dividing by the GCD.

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 do I divide the numerator by the denominator?

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Division tells you how many whole groups fit into the numerator! When you divide 10 by 6, you're asking "How many groups of 6 are in 10?" The answer is 1 group with 4 left over.

What if there's no remainder when I divide?

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Then you have a whole number, not a mixed number! For example, 126=2 \frac{12}{6} = 2 with no remainder, so it's just 2.

Do I always need to simplify the fraction part?

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Yes! Always simplify to make your answer as clean as possible. Find the GCD of the numerator and denominator, then divide both by it.

How do I find the GCD to simplify?

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List the factors of both numbers and find the largest common factor. For 4 and 6: factors of 4 are {1, 2, 4} and factors of 6 are {1, 2, 3, 6}, so GCD = 2.

Can I check my answer by converting back?

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Absolutely! Multiply the whole number by the denominator, add the numerator, then put it over the original denominator. If you get your starting fraction, you're correct!

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