Convert Fraction 16/4 to Mixed Number: Step-by-Step Solution

Fraction Conversion with Whole Number Results

Write the fraction as a mixed number:

164= \frac{16}{4}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Write when already mixed
00:03 Let's calculate the portion
00:08 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:

164= \frac{16}{4}=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Divide the numerator by the denominator.
  • Step 2: Determine if the result is a whole number or a mixed number.

Now, let's proceed with these steps:
Step 1: We have the fraction 164\frac{16}{4}. To convert this into a mixed number, we need to perform the division of 16 by 4.
Step 2: Performing the division, 164=4\frac{16}{4} = 4. Since there is no remainder, the result is a whole number, not a mixed number.

Therefore, the fraction 164\frac{16}{4} as a mixed number is 4 4 .

3

Final Answer

4 4

Key Points to Remember

Essential concepts to master this topic
  • Rule: Divide numerator by denominator to convert improper fractions
  • Technique: Calculate 16 ÷ 4 = 4 with no remainder
  • Check: Verify by multiplication: 4 × 4 = 16 ✓

Common Mistakes

Avoid these frequent errors
  • Assuming all fractions become mixed numbers
    Don't expect every improper fraction to have a remainder like 16/4 = 4 2/4! When division is exact with no remainder, the result is a whole number. Always perform the division completely to see if there's a remainder.

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 16/4 a mixed number if it's an improper fraction?

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Great question! An improper fraction just means the numerator is bigger than the denominator. But when you divide and get no remainder, the result is a whole number, not a mixed number.

How do I know when I'll get a whole number vs. a mixed number?

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It depends on the remainder! If the numerator divides evenly into the denominator (like 16 ÷ 4 = 4), you get a whole number. If there's a remainder (like 17 ÷ 4 = 4 R1), you get a mixed number.

Should I always convert improper fractions to mixed numbers?

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Not always! Sometimes keeping the improper fraction is more useful, especially in algebra. But when asked to convert, always perform the division to see what form the answer takes.

What if I made an error and got a different answer?

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Double-check your division! 164 \frac{16}{4} means "16 divided by 4." Use multiplication to verify: does your answer times 4 equal 16?

Is 4 the same as 4/1?

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Yes! Any whole number can be written as a fraction with denominator 1. So 4 = 4/1. Both represent the same value.

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