Convert Fraction to Decimal: Solving 93/10

Fraction to Decimal with Powers of Ten

Write the following fraction as a decimal:

9310 \frac{93}{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
00:04 In a decimal fraction, take the numerator as a number
00:07 According to the denominator, move the decimal point
00:11 When the denominator equals 10, move the decimal point once to the left
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 following fraction as a decimal:

9310 \frac{93}{10}

2

Step-by-step solution

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

93.0 93.0

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

9.3 9.3

3

Final Answer

9.3

Key Points to Remember

Essential concepts to master this topic
  • Rule: When denominator is 10, move decimal point one left
  • Technique: Convert 9310 \frac{93}{10} to 93.0 ÷ 10 = 9.3
  • Check: Verify 9.3 × 10 = 93 to confirm the decimal conversion ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal point the wrong direction
    Don't move the decimal point right when dividing by 10 = wrong answer like 930.0! This makes the number larger instead of smaller. 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 point moves left! Think of it as: each digit moves one place value down (tens become ones, ones become tenths).

What if the fraction doesn't have 10 in the denominator?

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If the denominator isn't 10, 100, or 1000, you'll need to use long division instead of just moving the decimal point. This shortcut only works with powers of 10!

How many places do I move the decimal for different denominators?

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For 10: move 1 place left
For 100: move 2 places left
For 1000: move 3 places left
Count the zeros in the denominator!

What if my fraction is improper like 93/10?

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That's fine! Improper fractions (numerator larger than denominator) just give you decimals greater than 1. Follow the same rule: 9310 \frac{93}{10} = 9.3

Do I need to add a zero after 93?

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Yes! Writing 93 as 93.0 helps you see where to place the decimal point. You can always add zeros after the decimal without changing the value.

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