5/8 write a fraction or mixed number as a decimal
The Correct Answer and Explanation is:
To convert the fraction 5/8 into a decimal, you can perform long division.
- Start by dividing 5 by 8.
- 5 ÷ 8 goes 0 times, so we write a 0 before the decimal point. Now, bring down a 0, making the division 50 ÷ 8.
- 50 ÷ 8 equals 6 (since 8 times 6 is 48). Write 6 after the decimal point.
- Now, subtract 48 from 50 to get a remainder of 2. Bring down another 0, making the division 20 ÷ 8.
- 20 ÷ 8 equals 2 (since 8 times 2 is 16). Write 2 after the 6.
- Subtract 16 from 20 to get a remainder of 4. Bring down another 0, making the division 40 ÷ 8.
- 40 ÷ 8 equals 5 (since 8 times 5 is 40). Write 5 after the 2.
- Subtract 40 from 40 to get a remainder of 0, meaning the division is complete.
So, 5 ÷ 8 = 0.625.
Explanation:
This is a simple division problem where we break the fraction into a decimal by dividing the numerator (5) by the denominator (8). The process of long division helps us to find that 5/8 equals 0.625.
Since the remainder eventually becomes zero, this decimal is exact, meaning it does not continue indefinitely. The fraction 5/8 can thus be expressed as 0.625 in decimal form.
In general, converting a fraction to a decimal involves dividing the numerator by the denominator, and long division is a common way to do this for non-terminating or repeating decimals. For fractions that result in repeating decimals, the process would involve a repeating pattern.
