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

  1. 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.

  1. Perform long division

Since 5 is less than 8, place a decimal point and add zeros to the right of 5.

$5.000 \div 8$
  1. 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!
Use Quizgecko on...
Browser
Browser