Write 4/25 as a decimal.

Question image

Understand the Problem

The question is asking us to convert the fraction 4/25 into its decimal form. This involves performing the division of 4 by 25.

Answer

The decimal form of $\frac{4}{25}$ is $0.16$.
Answer for screen readers

The decimal form of $\frac{4}{25}$ is 0.16.

Steps to Solve

  1. Set up the division

To convert the fraction $\frac{4}{25}$ into a decimal, set up the division of 4 by 25.

  1. Perform the division

Divide 4 by 25. Since 4 is less than 25, you can write it as 4.0000 (adding decimal places).

  1. Calculate the value

Now, perform the long division. 25 goes into 40 once (1), leaving a remainder of 15.
Next, bring down a 0 to make it 150. 25 goes into 150 six times (6), leaving a remainder of 0.

So, the division can be expressed as:

$$ 4 \div 25 = 0.16 $$

  1. Write the decimal form

Thus, the decimal form of $\frac{4}{25}$ is 0.16.

The decimal form of $\frac{4}{25}$ is 0.16.

More Information

The division of any two numbers can be represented as a decimal. In this case, $\frac{4}{25} = 0.16$, indicating that 4 is 16% of 25. This can also be useful for understanding percentages.

Tips

  • Mistake: Not adding enough decimal places when dividing.
    • Avoidance Tip: Always start with a few extra zeros after the decimal point when the numerator is smaller than the denominator.

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