Convert Fraction to Decimal: Solving 15/10 Step by Step

Q: Why does dividing by 10 move the decimal point left?

Dividing makes numbers smaller, so the decimal point moves left. Think of it as: 15 ÷ 10 = 1.5, which is smaller than 15!

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

You can still convert! Use long division or find an equivalent fraction with 10, 100, or 1000 in the denominator first.

Q: Do I need to write the extra zero in 1.50?

No! $ 1.50 = 1.5 $ - trailing zeros after the decimal don't change the value. You can drop them for a simpler answer.

Q: How do I know if my decimal is correct?

Convert back to check: 1.5 × 10 = 15, and the denominator stays 10. If you get the original fraction, you're right!

Q: What if I get a really long decimal?

Some fractions create repeating decimals like 0.333... That's normal! For fractions with denominators of 10, 100, 1000, you'll always get terminating decimals.

Fraction to Decimal with Powers of Ten

Write the following fraction as a decimal:

$\frac{15}{10}$

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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

00:14 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:

$\frac{15}{10}$

Step-by-step solution

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

$15.0$

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

$1.50=1.5$

Final Answer

1.5

Key Points to Remember

Essential concepts to master this topic

Rule: When denominator is 10, move decimal point one place left
Technique: $\frac{15}{10}$ becomes 15.0 ÷ 10 = 1.5
Check: Multiply back: 1.5 × 10 = 15, so $\frac{15}{10} = 1.5$ ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point right when dividing by 10 = makes number bigger instead of smaller! This gives 150.0 instead of 1.5. 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 point left?

Dividing makes numbers smaller, so the decimal point moves left. Think of it as: 15 ÷ 10 = 1.5, which is smaller than 15!

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

You can still convert! Use long division or find an equivalent fraction with 10, 100, or 1000 in the denominator first.

Do I need to write the extra zero in 1.50?

No! $1.50 = 1.5$ - trailing zeros after the decimal don't change the value. You can drop them for a simpler answer.

How do I know if my decimal is correct?

Convert back to check: 1.5 × 10 = 15, and the denominator stays 10. If you get the original fraction, you're right!

What if I get a really long decimal?

Some fractions create repeating decimals like 0.333... That's normal! For fractions with denominators of 10, 100, 1000, you'll always get terminating decimals.

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