Converting a fraction to a decimal involves a simple division of the numerator (the top number) by the denominator (the bottom number). Here’s how you would convert 1/8 to a decimal step by step:
Step 1: Understand the Fraction
1/8 is a fraction that means 1 divided by 8.
Step 2: Set Up the Division
You set up the division problem with 1 as the dividend (the number being divided) and 8 as the divisor (the number you are dividing by).
Step 3: Divide
Since 1 is less than 8, you cannot divide it as it is. You need to add a decimal point to the dividend (1.) and add a zero, making it 10 when you bring it down.
Now, you divide 10 by 8. 8 goes into 10 once (8), and you subtract to find the remainder (10 – 8 = 2).
Step 4: Add Another Zero
Bring down another zero and divide 20 by 8. 8 goes into 20 twice (16), and again you subtract to find the remainder (20 – 16 = 4).
Step 5: Repeat as Necessary
Continue this process until you either get a remainder of 0 or until you recognize a repeating pattern. Bringing down another zero to the remainder of 4 and dividing 40 by 8 gives you 5 with no remainder.
Step 6: Write the Decimal
The decimal representation of 1/8 is 0.125.