Write 4/25 as a decimal.

Question image

Understand the Problem

The question is asking to convert the fraction 4/25 into its decimal form.

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, you need to divide 4 by 25.

  2. Perform the division When you divide 4 by 25, you will setup the long division as follows:

  • 25 goes into 4, which is 0 times.
  • Now add a decimal point and a zero, making it 40.
  1. Continue dividing Now divide 40 by 25.
  • 25 goes into 40 once (1).
  • Multiply 1 by 25 getting 25, then subtract it from 40 to get 15.
  1. Bring down the next zero Now bring down another zero, making it 150.
  • 25 goes into 150 six times (6).
  • Multiply 6 by 25 getting 150, then subtract it from 150 which gives 0.

Now, we see that the division is complete.

  1. Combine the results The final result represents: $$ \frac{4}{25} = 0.16 $$

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

More Information

Dividing fractions by converting them into decimals is a common method used in math. It's useful for understanding proportions and comparing values. Additionally, $0.16$ can also be written as 16%.

Tips

  • Forgetting to add a decimal point when needed during long division.
  • Overlooking the decimal placement, particularly when bringing down zeros. Make sure to track the decimal point correctly.

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