Converting 7/8 to a decimal involves the simple process of division. Here’s the step-by-step guide:
Step 1: Understand the Fraction
7/8 means 7 divided by 8.
Step 2: Set Up the Division
Set up the division problem with 7 as the dividend and 8 as the divisor.
Step 3: Divide
Since 7 is less than 8, you need to add a decimal point to the 7 (making it 7.0) to continue the division.
Now, consider it as 70 divided by 8. 8 goes into 70 eight times (64), and you subtract the product from 70, leaving a remainder of 6 (70 – 64 = 6).
Step 4: Bring Down Another Zero
You bring down another zero to the remainder, making it 60, and divide by 8 again.
8 goes into 60 seven times (56), and you subtract the product from 60, leaving a remainder of 4 (60 – 56 = 4).
Step 5: Bring Down Yet Another Zero
Repeat the process: bring down another zero to the remainder, making it 40, and divide by 8.
8 goes into 40 exactly five times (40), and you subtract the product from 40, leaving no remainder.
Step 6: Write the Decimal
The decimal representation of 7/8 is 0.875.
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