Converting Mixed Number 2 6/10 to Decimal Form: Step-by-Step

Mixed Number Conversion with Tenth Fractions

Convert 2610 2\frac{6}{10} 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 Break down the number into whole number and remainder
00:13 When the denominator equals 10, place the numerator directly after the decimal point
00:22 Add to decimal fraction
00:25 Use long addition for calculation
00:31 Calculate and substitute accordingly
00:44 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Convert 2610 2\frac{6}{10} into a decimal.

2

Step-by-step solution

To solve the problem of converting 2610 2\frac{6}{10} to a decimal, follow these steps:

  • Step 1: Recognize that the mixed number consists of a whole number 2 2 and a fractional part 610\frac{6}{10}.
  • Step 2: Convert the fractional part to a decimal. Here, 610=0.6 \frac{6}{10} = 0.6 because dividing the numerator 6 by the denominator 10 gives 0.6.
  • Step 3: Combine the decimal result with the whole number part. Therefore, 2+0.6=2.6 2 + 0.6 = 2.6 .

The decimal equivalent of 2610 2\frac{6}{10} is 2.6.

3

Final Answer

2.6

Key Points to Remember

Essential concepts to master this topic
  • Rule: Mixed numbers equal whole part plus fractional part
  • Technique: Convert 610 \frac{6}{10} to 0.6 by dividing
  • Check: Verify 2.6 equals 2610 2\frac{6}{10} by converting back ✓

Common Mistakes

Avoid these frequent errors
  • Placing decimal point incorrectly
    Don't write 0.26 instead of 2.6! This happens when students forget to include the whole number part. The whole number 2 stays as 2 in decimal form, and only the fraction 610 \frac{6}{10} becomes 0.6. Always add the whole number to the decimal fraction: 2 + 0.6 = 2.6.

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 is 610 \frac{6}{10} equal to 0.6?

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When you divide 6 by 10, you get 0.6! Think of it as 6 tenths, which is the same as 0.6 in decimal form. The denominator 10 tells you where to place the decimal point.

Do I always add the whole number and decimal together?

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Yes! A mixed number like 2610 2\frac{6}{10} means 2 plus 610 \frac{6}{10} . So you convert the fraction to decimal (0.6) and add it to the whole number: 2 + 0.6 = 2.6.

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

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You can still convert! For fractions like 14 \frac{1}{4} , divide 1 ÷ 4 = 0.25. Then add to the whole number part. Division always works to convert fractions to decimals.

How can I check if 2.6 is correct?

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Convert back! 2.6 = 2 + 0.6, and 0.6 = 610 \frac{6}{10} . So 2.6 = 2610 2\frac{6}{10} ✓. You can also use a calculator: 2 + 6 ÷ 10 = 2.6.

Why are the other answer choices wrong?

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0.26 ignores the whole number 2. 0.16 and 0.6 both ignore the whole number part completely. Only 2.6 includes both the whole number and the converted fraction!

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