Solve the Fraction: Finding the Value of 22/11

Simplifying Fractions with Division

What number am I?

If my numerator is 22 and my denominator is 11.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 First, let's find the fraction.
00:16 Next, reduce the fraction as much as you can.
00:21 Be sure to divide both the top, and bottom numbers.
00:35 And that's how we get the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What number am I?

If my numerator is 22 and my denominator is 11.

2

Step-by-step solution

Remember that the numerator of a fraction is on top, while the denominator of the fraction is on the bottom.

Now let's write it out accordingly to obtain:

2211 \frac{22}{11}

Finally, we can divide both the numerator and the denominator by 11, giving us:

22:1111:11=21=2 \frac{22:11}{11:11}=\frac{2}{1}=2

3

Final Answer

21 \frac{2}{1}

Key Points to Remember

Essential concepts to master this topic
  • Structure: Numerator goes on top, denominator goes on bottom
  • Division Method: Divide numerator by denominator: 22 ÷ 11 = 2
  • Verification: Check that 21=2 \frac{2}{1} = 2 matches your division result ✓

Common Mistakes

Avoid these frequent errors
  • Confusing numerator and denominator positions
    Don't put 11 on top and 22 on bottom = 1122 \frac{11}{22} which equals 0.5! This switches the values completely. Always remember numerator (top number) comes first in the problem description.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction shown in the picture, in words:

FAQ

Everything you need to know about this question

What's the difference between 21 \frac{2}{1} and 2?

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They're exactly the same! 21 \frac{2}{1} means "2 divided by 1" which equals 2. Any number divided by 1 equals itself, so both answers are correct.

Why can't the answer be 1 or 3?

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Let's check: 2211 \frac{22}{11} means 22 ÷ 11. Since 22 = 11 × 2, the answer must be 2, not 1 or 3.

How do I remember which number goes where?

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Think of it like a division problem: "22 divided by 11." The first number (22) goes on top, the second number (11) goes on bottom.

Can I simplify this fraction differently?

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Yes! You can find the Greatest Common Factor (GCF) of 22 and 11. Since 11 goes into 22 exactly 2 times, divide both by 11: 22÷1111÷11=21 \frac{22÷11}{11÷11} = \frac{2}{1}

What if I got a mixed number like 138 1\frac{3}{8} ?

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That would be wrong for this problem! 2211 \frac{22}{11} divides evenly with no remainder, so there's no fractional part left over.

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