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
-
Set Up the Division We need to divide 7 by 8 to find its decimal form. This can be written as: $$ 7 \div 8 $$
-
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.
-
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.
-
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.
- 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.
AI-generated content may contain errors. Please verify critical information
