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7/8 as a decimal




What is 7/8 as decimal? Let’s explore the exact steps how to convert a fraction to a decimal based on the below example

  1. Understand the Fraction: The fraction 78 represents the division of 7 by 8.
  2. Set Up the Division: Position 7 as the dividend and 8 as the divisor.
  3. Perform the Division:
    • Since 7 is smaller than 8, you can’t divide it directly. Add a decimal point to 7 and append a zero, making it 70 (in the tenths place).
    • Divide 70 by 8. The closest you can get to 70 without exceeding it is 64 (8 times 8), so the result of the division is 8.
    • Write 8 to the right of the decimal point in your answer.
  4. Subtract to Find the Remainder: Subtract 64 (8 times 8) from 70. The remainder is 6.
  5. Repeat the Process for the Remainder:
    • Add another zero to the remainder to make it 60 (now working in the hundredths place).
    • Divide 60 by 8, which gives you 7 because 8 times 7 is 56.
    • Add this 7 to your answer, making it 0.87 so far.
  6. Check for Further Remainders: Subtract 56 from 60. The remainder is 4.
  7. Continue if Necessary:
    • Add another zero to the remainder, making it 40 (now in the thousandths place).
    • Divide 40 by 8, which gives 5 because 8 times 5 is 40.
    • Add this 5 to your answer, making it 0.875.
  8. Finalize the Answer: The division now has no remainder. The decimal representation of 78 is 0.875.

This process of converting a fraction to a decimal involves extending the dividend with zeros and continuing the division until there’s no remainder or you reach the desired level of precision. For 78 , the division neatly ends with 0.875 as the decimal equivalent.

Explore variety of examples below (the above steps are followed):

General rules: convert fraction to decimal

Practical examples:

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