What decimal is 2/5

General
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what decimal is 2/5

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What decimal is 2/5?

Answer: Converting the fraction \frac{2}{5} into a decimal is a straightforward process. Here’s how you can do it:

Step-by-Step Conversion

  1. Understand the Fraction:

    • The fraction \frac{2}{5} means 2 divided by 5.

  2. Perform the Division:

    • To convert \frac{2}{5} into a decimal, you divide 2 by 5.

    • Set up the division:

      2 \div 5

    • Since 2 is less than 5, you add a decimal point and a zero, making it 20. The operation now looks like:

      2.0 \div 5

  3. Divide:

    • Now divide 20 by 5:

      • 5 goes into 20 exactly 4 times.

      • Therefore,

        20 \div 5 = 4

  4. Result:

    • After dividing, you get 0.4.
    • Therefore, \frac{2}{5} = 0.4 .

Verification

To double-check your work, you can multiply the decimal back by 5:

0.4 \times 5 = 2

Since the result is 2, the conversion is correct.

Conclusion

Hence, the decimal equivalent of the fraction \frac{2}{5} is

\boxed{0.4}

This method ensures a thorough understanding of the conversion process from fraction to decimal form.