How do you write 7/8 as a decimal?

Understand the Problem

The question is asking how to convert the fraction 7/8 into its decimal form. This involves performing the division of 7 by 8.

Answer

The decimal form of $\frac{7}{8}$ is $0.875$.
Answer for screen readers

The decimal form of $\frac{7}{8}$ is $0.875$.

Steps to Solve

  1. Set Up the Division We need to divide 7 by 8 to find its decimal form. This can be written as: $$ 7 \div 8 $$

  2. Perform Long Division Since 7 is less than 8, we'll add a decimal point and a zero to the 7, making it 70. Now we divide 70 by 8.

    • 8 goes into 70 a total of 8 times (since $8 \times 8 = 64$).
    • We subtract 64 from 70, which gives us 6.
  3. Continue Division Now, bring down another 0 to make it 60.

    • 8 goes into 60 a total of 7 times (since $8 \times 7 = 56$).
    • Subtract 56 from 60, which gives us 4.
  4. Repeat the Process Bring down another 0 to make it 40.

    • 8 goes into 40 exactly 5 times (since $8 \times 5 = 40$).
    • Subtract 40 from 40, which gives us 0.

Now, as there are no more remainders, we stop here.

  1. Write the Result The result of the division is 0.875.

Thus, the decimal form of $\frac{7}{8}$ is $$ 0.875 $$

The decimal form of $\frac{7}{8}$ is $0.875$.

More Information

Converting fractions to decimals helps in understanding the value of numbers in a different form. The fraction $\frac{7}{8}$ can also be interpreted as 7 parts out of 8, which is quite close to 1.

Tips

  • Not adding a decimal point: When the numerator is less than the denominator, it's important to remember to add a decimal point and zero to continue the division.
  • Rounding too early: Some may round the result before completing the long division, which can lead to incorrect answers.

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