Converting Fraction to Decimal: Solve 17/10 Step by Step

Fraction to Decimal with Power of Ten

Write the following fraction as a decimal:

1710 \frac{17}{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 According to the denominator, move the decimal point
00:10 When the denominator equals 10, move the decimal point once to the left
00:13 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:

1710 \frac{17}{10}

2

Step-by-step solution

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

17.0 17.0

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

1.70=1.7 1.70=1.7

3

Final Answer

1.7

Key Points to Remember

Essential concepts to master this topic
  • Division Rule: Dividing by 10 moves decimal point one place left
  • Technique: Rewrite 17/10 as 17.0 ÷ 10 = 1.7
  • Check: Multiply back: 1.7 × 10 = 17.0 = 17 ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal point the wrong direction
    Don't move the decimal right when dividing by 10 = 170.0 instead of 1.7! Dividing makes numbers smaller, not larger. 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 does dividing by 10 move the decimal left?

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Think of it this way: 10 is bigger than 1, so when you divide by something bigger, your answer gets smaller. Moving the decimal left makes the number smaller!

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

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You can still convert! Use long division or find an equivalent fraction with a power of 10 in the denominator. For example: 34=75100=0.75 \frac{3}{4} = \frac{75}{100} = 0.75

How many decimal places should I move?

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Count the zeros in the denominator! 10 has 1 zero = move 1 place left. 100 has 2 zeros = move 2 places left. 1000 has 3 zeros = move 3 places left.

Can I just do 17 ÷ 10 on a calculator?

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Yes, but understanding the decimal point rule helps you work faster without a calculator and avoid mistakes when the numbers get more complex!

What if I get trailing zeros like 1.70?

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You can drop trailing zeros after the decimal point! 1.70 = 1.7. Both represent the same value, but 1.7 is the simplified form.

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