Convert Fraction 20/4 to Mixed Number: Step-by-Step Solution

Improper Fractions with Exact Division

Write the fraction as a mixed number:

204= \frac{20}{4}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's start by writing everything down, even when it's all mixed up.
00:09 Now, let's calculate the portion, step by step.
00:13 And there you go! That's the solution to our 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:

204= \frac{20}{4}=

2

Step-by-step solution

To solve this problem, we'll convert the fraction 204\frac{20}{4} into its simplest form:

  • Step 1: Perform the division of the numerator by the denominator.
    204\frac{20}{4} can be simplified by dividing 20 by 4.
  • Step 2: Calculate 20÷4=520 \div 4 = 5.
  • Step 3: Since there is no remainder, 204\frac{20}{4} simplifies to the whole number 5.

Thus, the fraction 204\frac{20}{4} as a mixed number is simply the whole number 5 5 .

3

Final Answer

5 5

Key Points to Remember

Essential concepts to master this topic
  • Rule: Divide numerator by denominator to convert improper fractions
  • Technique: Calculate 20÷4=5 20 \div 4 = 5 with no remainder
  • Check: Verify 5×4=20 5 \times 4 = 20 matches original numerator ✓

Common Mistakes

Avoid these frequent errors
  • Confusing mixed numbers with improper fractions
    Don't assume every improper fraction becomes a mixed number with a fractional part! When division is exact (like 20÷4=5 20 \div 4 = 5 with no remainder), the result is just a whole number. Always complete the division to see if there's a remainder before writing a mixed number.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction as a mixed number:

\( \frac{6}{2}= \)

FAQ

Everything you need to know about this question

Why isn't the answer a mixed number like 5 1/4?

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Because 204 \frac{20}{4} divides evenly! When you divide 20 by 4, you get exactly 5 with no remainder. Mixed numbers only appear when there's a remainder left over.

How do I know when a fraction will be just a whole number?

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Check if the numerator is divisible by the denominator. If 20 ÷ 4 gives no remainder, then 204=5 \frac{20}{4} = 5 exactly. Try: Does 4 go into 20 evenly? Yes!

What's the difference between simplifying and converting to mixed numbers?

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Simplifying means reducing fractions to lowest terms (like 68=34 \frac{6}{8} = \frac{3}{4} ). Converting to mixed numbers means changing improper fractions to whole number plus fraction form. Sometimes, like here, the result is just a whole number!

Should I always convert improper fractions to mixed numbers?

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It depends on the problem! For word problems and real-life situations, mixed numbers are usually easier to understand. For calculations and algebra, improper fractions are often more convenient to work with.

How can I check my work?

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Multiply your answer by the original denominator: 5×4=20 5 \times 4 = 20 . This should equal the original numerator. If it matches, you're correct!

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