What is the decimal for 5/8?
Understand the Problem
The question is asking for the decimal representation of the fraction 5/8. To solve this, we will divide the numerator (5) by the denominator (8).
Answer
0.625
Answer for screen readers
The final answer is 0.625
Steps to Solve
- Set up the division
Divide 5 by 8 to find the decimal representation. This can be set up as a long division problem where 5 is the dividend and 8 is the divisor.
- Perform long division
Since 5 is less than 8, place a decimal point and add zeros to the right of 5.
$5.000 \div 8$
- Divide step by step
- 8 goes into 50 six times, add 6 to the quotient and subtract $8 \times 6 (= 48)$ from 50.
- Bring down the next zero, making it 20.
- 8 goes into 20 two times, add 2 to the quotient and subtract $8 \times 2 (= 16)$ from 20.
- Bring down the next zero, making it 40.
- 8 goes into 40 five times, add 5 to the quotient and subtract $8 \times 5 (= 40)$ from 40, leaving 0.
The quotient is 0.625.
The final answer is 0.625
More Information
The decimal 0.625 is equivalent to the fraction 5/8. This shows that 5/8 is a terminating decimal.
Tips
A common mistake is not aligning the decimal point correctly when adding zeros during the division process. Ensure each step's decimal placement is maintained accurately.
Thank you for voting!
