1/5 as a decimal number

Understand the Problem

The question is asking to convert the fraction 1/5 into its decimal form. This will involve performing a division of 1 by 5.

Answer

The decimal form of the fraction $\frac{1}{5}$ is $0.2$.
Answer for screen readers

The decimal form of the fraction $\frac{1}{5}$ is $0.2$.

Steps to Solve

  1. Set up the division We want to divide 1 by 5. We can write this as:

$$ 1 \div 5 $$

  1. Identify how many times 5 goes into 1 Since 5 is greater than 1, it goes into 1, 0 times. We can write down 0 as part of our decimal:

$$ 0. $$

  1. Add a decimal point and a zero We place a decimal point after the 1 and add a zero to continue the division. Now we are effectively dividing 10 by 5:

$$ 10 \div 5 $$

  1. Divide 10 by 5 Now we divide 10 by 5, which equals 2:

$$ 5 \times 2 = 10 $$

So we write down 2 in the decimal:

$$ 0.2 $$

  1. Final Result Since 1 divided by 5 is complete, our decimal form of the fraction is:

$$ 0.2 $$

The decimal form of the fraction $\frac{1}{5}$ is $0.2$.

More Information

The decimal representation of fractions is often useful in real-life applications, such as in financial calculations where it's simpler to work with decimals rather than fractions.

Tips

One common mistake is forgetting to add a decimal point and a zero when dividing. Always remember to adjust for decimal conversions and extend the number if needed.

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