Convert Fraction to Decimal: Solving 22/10 Step by Step

Fraction to Decimal with Powers of Ten

Write the following fraction as a decimal:

2210 \frac{22}{10}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert to decimal fraction
00:03 In a decimal fraction, take the numerator as a number
00:06 And according to the denominator, move the decimal point
00:09 When the denominator equals 10, move the decimal point once to the left
00:14 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 following fraction as a decimal:

2210 \frac{22}{10}

2

Step-by-step solution

First let's write the simple fraction as a decimal fraction:

22.0 22.0

Since the fraction is divisible by 10, we'll can move the decimal point one place to the left to obtain:

2.20=2.2 2.20=2.2

3

Final Answer

2.2

Key Points to Remember

Essential concepts to master this topic
  • Division Rule: Fractions are division problems - numerator divided by denominator
  • Powers of Ten: For denominators like 10, move decimal left 1 place
  • Verification: Check that 2.2×10=22 2.2 \times 10 = 22

Common Mistakes

Avoid these frequent errors
  • Moving the decimal point in the wrong direction
    Don't move the decimal right when dividing by 10 = gives 220 instead of 2.2! This makes the answer 100 times too big. Always move the decimal point LEFT when dividing by powers of 10.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

\( \frac{5}{100}= \)

FAQ

Everything you need to know about this question

Why do I move the decimal point left when dividing by 10?

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Dividing by 10 makes numbers smaller, so the decimal moves left! Think of it this way: 22 ÷ 10 = 2.2, which is much smaller than 22.

What if the fraction doesn't have a denominator of 10, 100, or 1000?

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You'll need to do long division instead! The decimal point shortcut only works for powers of 10 (10, 100, 1000, etc.).

How do I know how many places to move the decimal?

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Count the zeros in the denominator! For 10 (one zero), move 1 place left. For 100 (two zeros), move 2 places left.

What if my fraction is bigger than the denominator like 22/10?

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That's called an improper fraction! It converts to a decimal greater than 1, like 2.2. This is perfectly normal and correct.

Can I just divide 22 by 10 on a calculator?

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Yes! But learning the decimal point method helps you understand place value and makes you faster at mental math without a calculator.

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