25/3 as a decimal
Understand the Problem
The question is asking to convert the fraction 25/3 into its decimal form. This requires division, where we divide 25 by 3 to find the approximate decimal value.
Answer
The decimal form of \( \frac{25}{3} \) is \( 8.3\overline{3} \).
Answer for screen readers
The decimal form of ( \frac{25}{3} ) is ( 8.3\overline{3} ).
Steps to Solve
- Set up the division
To convert the fraction ( \frac{25}{3} ) into decimal form, set up the long division by dividing 25 by 3.
- Perform the division
Calculate how many times 3 fits into 25. Since ( 3 \times 8 = 24 ), we find that 3 fits into 25 exactly 8 times with a remainder.
- Calculate the remainder
After multiplying, subtract to find the remainder: $$ 25 - 24 = 1 $$
- Continue the division
Bring down a zero for decimal calculation. Now, divide 10 by 3: Since ( 3 \times 3 = 9 ), 3 fits into 10 three times.
- Calculate the new remainder
Subtract again to find the new remainder: $$ 10 - 9 = 1 $$
- Repeat the process
Bring down another zero, making it 10 again. This will repeat the process:
- Divide 10 by 3 (which equals 3) and the remainder is always 1.
- Conclude the decimal form
Thus, the decimal representation of ( \frac{25}{3} ) is ( 8.333... ) which can be written as ( 8.3\overline{3} ).
The decimal form of ( \frac{25}{3} ) is ( 8.3\overline{3} ).
More Information
The result ( 8.3\overline{3} ) indicates that the digit 3 repeats infinitely. This is a common situation when converting certain fractions into decimal form.
Tips
- Rounding too early: Ensure not to round off prematurely in the long division process. Always carry on the division as long as needed to capture the repeating nature of the decimal.
- Misplacing decimal points: When dividing, the decimal point in the quotient must be placed correctly, especially when introducing zeros for continued division.
