Convert Fraction to Decimal: Solving 13/10

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

Dividing by 10 makes numbers smaller, so the decimal point moves left. Think of it this way: 13 ÷ 10 = 1.3, which is smaller than 13!

Q: What if the numerator doesn't have a decimal point?

Every whole number has an invisible decimal point at the end! So 13 is really 13.0, and $ \frac{13}{10} $ becomes 13.0 ÷ 10 = 1.3.

Q: Does this work for other denominators like 100 or 1000?

Yes! For 100, move decimal 2 places left. For 1000, move 3 places left. The number of zeros tells you how many places to move.

Q: What if I get confused about which way to move the decimal?

Remember: dividing makes smaller, so move left. Multiplying makes bigger, so move right. Since $ \frac{13}{10} $ means 13 ÷ 10, move left!

Fraction to Decimal with Powers of Ten

Write the following fraction as a decimal:

$\frac{13}{10}$

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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, we take the numerator as a number

00:06 According to the denominator, we move the decimal point

00:10 When the denominator equals 10, move the decimal point once to the left

00:15 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the following fraction as a decimal:

$\frac{13}{10}$

Step-by-step solution

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

$13.0$

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

$1.30=1.3$

Final Answer

1.3

Key Points to Remember

Essential concepts to master this topic

Rule: Fractions with denominator 10 convert by moving decimal left
Technique: $\frac{13}{10}$ becomes 13.0 ÷ 10 = 1.3
Check: Multiply back: 1.3 × 10 = 13, so $\frac{13}{10} = 1.3$ ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal right when dividing by 10 = 130 instead of 1.3! Moving right multiplies instead of divides. Always move the decimal point LEFT one place when dividing by 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?

Dividing by 10 makes numbers smaller, so the decimal point moves left. Think of it this way: 13 ÷ 10 = 1.3, which is smaller than 13!

What if the numerator doesn't have a decimal point?

Every whole number has an invisible decimal point at the end! So 13 is really 13.0, and $\frac{13}{10}$ becomes 13.0 ÷ 10 = 1.3.

Does this work for other denominators like 100 or 1000?

Yes! For 100, move decimal 2 places left. For 1000, move 3 places left. The number of zeros tells you how many places to move.

How can I check if 1.3 is really equal to 13/10?

Multiply your decimal answer by the denominator: 1.3 × 10 = 13. Since this equals the numerator, you know $\frac{13}{10} = 1.3$ is correct!

What if I get confused about which way to move the decimal?

Remember: dividing makes smaller, so move left. Multiplying makes bigger, so move right. Since $\frac{13}{10}$ means 13 ÷ 10, move left!

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