What Is 73/8 As A Decimal?

To convert the fraction 73/8 into a decimal, let’s break it down step by step in detail.

Step 1: Perform the Division

The fraction 73/8 means we need to divide 73 (the numerator) by 8 (the denominator).

• 73 ÷ 8 = 9.125

Step 2: Breakdown of the Division Process

Let’s break the division down for clarity:

1. Divide 73 by 8:
   • 8 goes into 73 a total of 9 times (because 8 × 9 = 72).
   • Subtract 72 from 73: 73 – 72 = 1.
2. Bring down a decimal point:
   • Since there’s a remainder of 1, add a decimal point to the quotient and bring down a zero (making it 10).
   • Now divide 10 by 8.
3. Divide 10 by 8:
   • 8 goes into 10 1 time (because 8 × 1 = 8).
   • Subtract 8 from 10: 10 – 8 = 2.
4. Bring down another zero:
   • Now divide 20 by 8.
   • 8 goes into 20 2 times (because 8 × 2 = 16).
   • Subtract 16 from 20: 20 – 16 = 4.
5. Bring down another zero:
   • Divide 40 by 8.
   • 8 goes into 40 5 times (because 8 × 5 = 40).
   • Subtract 40 from 40: 40 – 40 = 0 (no remainder).

Step 3: Final Answer

• The result of dividing 73 by 8 is 9.125.

So, 73/8 as a decimal is 9.125.

Verification:

• Multiply the decimal result by 8 to check: 9.125 × 8 = 73. This confirms that the conversion is correct.

Conclusion:

73/8 is equal to 9.125 as a decimal.