Convert 23/25 as a decimal.
Understand the Problem
The question is asking to convert the fraction 23/25 into its decimal form. To solve this, we will divide 23 by 25.
Answer
$ 0.92 $
Answer for screen readers
The decimal form of $ \frac{23}{25} $ is $ 0.92 $.
Steps to Solve
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Set Up the Division To convert the fraction $ \frac{23}{25} $ into decimal form, we need to divide 23 by 25. Set up the long division.
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Perform Long Division Divide the numerator by the denominator:
- 25 goes into 23 zero times, so we place a decimal in the quotient and add a zero to make it 230.
- 25 goes into 230 nine times (since $ 25 \times 9 = 225 $).
- Subtract 225 from 230, leaving a remainder of 5.
- Continue the Division Bring down another 0, making it 50:
- 25 goes into 50 exactly two times (since $ 25 \times 2 = 50 $).
- Subtract 50 from 50, leaving a remainder of 0.
- Final Result Since there is no remainder left, the decimal representation of $ \frac{23}{25} $ is 0.92.
The decimal form of $ \frac{23}{25} $ is $ 0.92 $.
More Information
The fraction $ \frac{23}{25} $ represents a value less than 1, and converting it to decimal form makes it easier to use in calculations. It shows that 23 out of 25 parts are equivalent to 0.92 of the whole.
Tips
- Miscalculating the division steps, particularly in handling remainders or decimal places.
- Forgetting to place the decimal point in the correct position in the quotient.
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