Converting the Fraction 26/100 to Decimal Form: Step-by-Step

Q: Why does dividing by 100 give me 0.26 instead of 2.6?

When you divide by 100, you move the decimal point 2 places to the left. Since 26 is the same as 26.0, moving 2 places left gives you 0.26, not 2.6!

Q: Is there a shortcut for fractions with 100 in the denominator?

Yes! For any fraction with 100 in the denominator, just move the decimal point 2 places left. So $ \frac{26}{100} $ becomes 0.26 instantly!

Q: How do I know where to put the decimal point?

Count the zeros in the denominator! 100 has 2 zeros, so move the decimal 2 places left. If it were 1000 (3 zeros), you'd move 3 places left.

Q: What if my fraction doesn't have 10, 100, or 1000 in the denominator?

You'll need to do long division! Divide the numerator by the denominator step by step, just like $ 26 \div 100 $ in this problem.

Q: Can I check my answer without a calculator?

Multiply your decimal by the original denominatorYou should get the original numeratorExample: $ 0.26 \times 100 = 26 $ ✓

Fraction to Decimal with Division

Convert $\frac{26}{100}$ into a decimal.

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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 Based on the number of zeros in the denominator, we'll know how many places to move the decimal point to the left:

00:06 There are two zeros in the denominator, so we'll move the decimal point twice to the left

00:10 Place the numerator in the appropriate position after the decimal point

00:16 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

Convert $\frac{26}{100}$ into a decimal.

Step-by-step solution

To solve this problem, we'll use the steps outlined:

Step 1: Perform the division required to convert the fraction $\frac{26}{100}$ into a decimal.

Now, let's work through the solution:

$\text{Step 1: Calculate } \frac{26}{100} = 26 \div 100 = 0.26$

Therefore, the decimal representation of $\frac{26}{100}$ is 0.26.

Final Answer

0.26

Key Points to Remember

Essential concepts to master this topic

Rule: To convert a fraction to decimal, divide numerator by denominator
Technique: Calculate $26 \div 100 = 0.26$ using long division
Check: Verify by multiplying back: $0.26 \times 100 = 26$ ✓

Common Mistakes

Avoid these frequent errors

Placing decimal point incorrectly
Don't write 26 ÷ 100 as 2.6 or 0.026! This happens when students miscount decimal places. Always remember: dividing by 100 moves the decimal point 2 places left, so 26 becomes 0.26.

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 100 give me 0.26 instead of 2.6?

When you divide by 100, you move the decimal point 2 places to the left. Since 26 is the same as 26.0, moving 2 places left gives you 0.26, not 2.6!

Is there a shortcut for fractions with 100 in the denominator?

Yes! For any fraction with 100 in the denominator, just move the decimal point 2 places left. So $\frac{26}{100}$ becomes 0.26 instantly!

How do I know where to put the decimal point?

Count the zeros in the denominator! 100 has 2 zeros, so move the decimal 2 places left. If it were 1000 (3 zeros), you'd move 3 places left.

What if my fraction doesn't have 10, 100, or 1000 in the denominator?

You'll need to do long division! Divide the numerator by the denominator step by step, just like $26 \div 100$ in this problem.

Can I check my answer without a calculator?

Multiply your decimal by the original denominator
You should get the original numerator
Example: $0.26 \times 100 = 26$ ✓

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