What is 33/25 as a decimal?
Understand the Problem
The question is asking for the decimal representation of the fraction 33/25. To convert a fraction to a decimal, you divide the numerator (33) by the denominator (25).
Answer
The decimal representation of \( \frac{33}{25} \) is $1.32$.
Answer for screen readers
The decimal representation of ( \frac{33}{25} ) is 1.32.
Steps to Solve
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Set up the division To convert the fraction ( \frac{33}{25} ) into a decimal, perform the division ( 33 \div 25 ).
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Perform the division Start dividing:
- 25 goes into 33 one time (1).
- Multiply 1 by 25 to get 25.
- Subtract 25 from 33, which gives you a remainder of 8.
- Continue with decimal places Since we have a remainder, we will add a decimal point and a zero to the remainder to make it 80.
- Now divide ( 80 \div 25 ). 25 goes into 80 three times (3).
- Multiply 3 by 25 to get 75.
- Subtract 75 from 80, which gives you a remainder of 5.
- Repeat the process Add another zero to the remainder, making it 50.
- Divide ( 50 \div 25 ). 25 goes into 50 two times (2).
- Multiply 2 by 25 to get 50.
- Subtracting gives you a remainder of 0.
- Conclusion Since there is no remainder, we have completed the division. Combined, the integer and decimal parts give us the result.
The decimal representation of ( \frac{33}{25} ) is 1.32.
More Information
The conversion from fraction to decimal is useful for many real-life applications, such as financial calculations and measurements. The result, 1.32, could also be expressed as a percentage (132%) if needed.
Tips
- Forgetting to add a decimal point and zero when the first division does not produce a whole number.
- Miscalculating the multiplication or subtraction steps can lead to errors in the resulting decimal.
- Rounding prematurely before completing all necessary steps can alter the final result.
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