Convert Fraction 8/5 to Mixed Number: Step-by-Step Solution

Improper Fraction Conversion with Division Method

Write the fraction as a mixed number:

85= \frac{8}{5}=

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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
00:06 Check how many times the denominator goes into the numerator
00:11 Subtract the whole number from the fraction to get the remainder
00:14 Convert to mixed fraction
00:17 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:

85= \frac{8}{5}=

2

Step-by-step solution

To convert the improper fraction 85 \frac{8}{5} into a mixed number, follow these steps:

  • First, divide the numerator (8) by the denominator (5).
  • The division 8÷5=1 8 \div 5 = 1 gives us the whole number part of the mixed number, because 5 fits into 8 a maximum of once.
  • Next, calculate the remainder of the division. The remainder is 8−5×1=3 8 - 5 \times 1 = 3.
  • Thus, our remainder of 3 becomes the numerator of the fractional part of our mixed number.
  • The denominator of the fraction remains the same, which is 5.

Combining these parts, the mixed number from the fraction 85 \frac{8}{5} is 135 1\frac{3}{5} .

Therefore, the correct answer is 135 1\frac{3}{5} .

3

Final Answer

135 1\frac{3}{5}

Key Points to Remember

Essential concepts to master this topic
  • Rule: Divide numerator by denominator to find whole number part
  • Technique: Calculate remainder: 8 ÷ 5 = 1 remainder 3
  • Check: Convert back: 1×5 + 3 = 8, so 135=85 1\frac{3}{5} = \frac{8}{5} ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to calculate the remainder correctly
    Don't just divide 8 ÷ 5 = 1.6 and write 1610 1\frac{6}{10} ! This creates the wrong fractional part. Always find the remainder (8 - 5×1 = 3) and use the original denominator 5.

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

How do I know when a fraction needs to be converted to a mixed number?

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Convert when the numerator is larger than the denominator (called an improper fraction). Like 85 \frac{8}{5} - since 8 > 5, it can become a mixed number!

What if the division gives me no remainder?

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Then you have a whole number! For example, 105=2 \frac{10}{5} = 2 with no fractional part needed.

Can I use a calculator for the division?

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Yes, but be careful! Calculators give decimals like 1.6, but you need the whole number part (1) and the remainder (3) separately for mixed numbers.

Why can't I just write the decimal as the answer?

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Mixed numbers and decimals are different forms! 135 1\frac{3}{5} shows the exact fractional relationship, while 1.6 is the decimal approximation.

How do I check if my mixed number is correct?

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Convert it back to an improper fraction: multiply the whole number by the denominator, add the numerator. 135 1\frac{3}{5} becomes 1×5+35=85 \frac{1×5+3}{5} = \frac{8}{5} ✓

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