Convert 2.6/10 to Percentage: Decimal Division Practice

Q: Why do I divide 2.6 by 10 instead of just saying it's 2.6%?

The fraction $ \frac{2.6}{10} $ means 2.6 divided by 10, not just 2.6. You must perform the division first: 2.6 ÷ 10 = 0.26, then convert to percentage.

Q: How do I divide a decimal by 10 quickly?

Move the decimal point one place to the left! So 2.6 ÷ 10 becomes 0.26. This works because dividing by 10 makes numbers 10 times smaller.

Q: What's the difference between 0.26 and 26%?

They represent the same value in different forms! 0.26 is the decimal form and 26% is the percentage form. To convert: multiply the decimal by 100.

Q: Can I convert directly from fraction to percentage without finding the decimal?

Yes! You can multiply the fraction by 100%: $ \frac{2.6}{10} \times 100\% = \frac{260}{10}\% = 26\% $. Both methods give the same answer!

Fraction to Percentage with Decimal Division

Calculate 2.6 over 10 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 2.6 as a percentage of 10

00:03 Apply the formula to calculate percentages

00:09 Divide the number by the second number and proceed to multiply by 100

00:18 Break down into factors and reduce wherever possible

00:28 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 2.6 over 10 as a percentage:

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Simplify and calculate the given fraction
Step 2: Convert the result to a percentage

Now, let's work through each step:
Step 1: The given fraction is $\frac{2.6}{10}$ . Calculate this as a decimal:
$\frac{2.6}{10} = 0.26$

Step 2: Convert the decimal from Step 1 to a percentage by multiplying by $100$ :
$0.26 \times 100 = 26$

Therefore, the solution to the problem is 26%.

Final Answer

26%

Key Points to Remember

Essential concepts to master this topic

Division Rule: Divide numerator by denominator to get decimal form
Technique: Convert $\frac{2.6}{10} = 0.26$ then multiply by 100
Check: Verify 26% equals 0.26 as decimal: 26 ÷ 100 = 0.26 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point incorrectly when dividing by 10
Don't think 2.6 ÷ 10 = 2.06! This comes from not understanding place value when dividing by powers of 10. Always remember that dividing by 10 moves the decimal point one place to the left: 2.6 ÷ 10 = 0.26.

Practice Quiz

Test your knowledge with interactive questions

Calculate 30 over 100 as a percentage:

FAQ

Everything you need to know about this question

Why do I divide 2.6 by 10 instead of just saying it's 2.6%?

The fraction $\frac{2.6}{10}$ means 2.6 divided by 10, not just 2.6. You must perform the division first: 2.6 ÷ 10 = 0.26, then convert to percentage.

How do I divide a decimal by 10 quickly?

Move the decimal point one place to the left! So 2.6 ÷ 10 becomes 0.26. This works because dividing by 10 makes numbers 10 times smaller.

What's the difference between 0.26 and 26%?

They represent the same value in different forms! 0.26 is the decimal form and 26% is the percentage form. To convert: multiply the decimal by 100.

Can I convert directly from fraction to percentage without finding the decimal?

Yes! You can multiply the fraction by 100%: $\frac{2.6}{10} \times 100\% = \frac{260}{10}\% = 26\%$ . Both methods give the same answer!

How do I check if 26% is correct?

Convert back to decimal: 26% ÷ 100 = 0.26. Then check: does $\frac{2.6}{10} = 0.26$ ? Yes! Your answer is correct.

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