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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

  1. Set up the division To convert the fraction ( \frac{33}{25} ) into a decimal, perform the division ( 33 \div 25 ).

  2. 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.
  1. 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.
  1. 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.
  1. 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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