Convert the Fraction: Solving 26/10 Step by Step

Q: Why does 26 ÷ 10 equal 2.6 and not 2.5?

When you divide 26 by 10, you get 2 remainder 6. The 6 becomes the decimal part: 6 ÷ 10 = 0.6. So 26 ÷ 10 = 2 + 0.6 = 2.6.

Q: Is there a shortcut for dividing by 10?

Yes! When dividing by 10, simply move the decimal point one place to the left. So 26.0 ÷ 10 becomes 2.6.

Q: How can I check if 2.6 is correct?

Multiply your answer back: $ 2.6 \times 10 = 26 $. If you get the original numerator, your conversion is correct!

Q: What if the fraction doesn't divide evenly?

That's okay! Some fractions create repeating decimals or very long decimals. Just calculate as many decimal places as needed for your answer.

Q: Can I simplify the fraction first?

You can, but it's not necessary here. $ \frac{26}{10} $ simplifies to $ \frac{13}{5} $, and $ 13 \div 5 = 2.6 $ gives the same result!

Fraction to Decimal with Division

$\frac{26}{10}=$

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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 Write the numerator as a number

00:06 Based on the denominator, we'll know how many places to move the decimal point

00:09 In the denominator there is only one 0, so we'll move 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

Understand the problem

$\frac{26}{10}=$

Step-by-step solution

To solve this problem, we follow these steps:

Step 1: Identify the given fraction $\frac{26}{10}$ .
Step 2: Perform the division of the numerator by the denominator.

Now, let's work through each step:
Step 1: We have the fraction $\frac{26}{10}$ .
Step 2: Divide 26 by 10, which is the same as performing the calculation $26 \div 10$ . The result of this operation is 2.6.

Therefore, the solution to the problem is $2.6$ .

Final Answer

$2.6$

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator to convert fraction to decimal
Technique: Calculate $26 \div 10 = 2.6$ by moving decimal point
Check: Multiply back: $2.6 \times 10 = 26$ confirms answer ✓

Common Mistakes

Avoid these frequent errors

Confusing numerator and denominator positions
Don't divide 10 by 26 = 0.38! This reverses the fraction and gives a completely wrong decimal. Always divide the top number (numerator) by the bottom number (denominator).

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 26 ÷ 10 equal 2.6 and not 2.5?

When you divide 26 by 10, you get 2 remainder 6. The 6 becomes the decimal part: 6 ÷ 10 = 0.6. So 26 ÷ 10 = 2 + 0.6 = 2.6.

Is there a shortcut for dividing by 10?

Yes! When dividing by 10, simply move the decimal point one place to the left. So 26.0 ÷ 10 becomes 2.6.

How can I check if 2.6 is correct?

Multiply your answer back: $2.6 \times 10 = 26$ . If you get the original numerator, your conversion is correct!

What if the fraction doesn't divide evenly?

That's okay! Some fractions create repeating decimals or very long decimals. Just calculate as many decimal places as needed for your answer.

Can I simplify the fraction first?

You can, but it's not necessary here. $\frac{26}{10}$ simplifies to $\frac{13}{5}$ , and $13 \div 5 = 2.6$ gives the same result!

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