What is 114 Divided by 12? Answer is 9.5
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The answer to 114 divided by 12 is 9 with a remainder of 6, or 9.5 when written as a decimal.
Division helps us find how many times one number fits into another, and in this case, 12 goes into 114 nine full times, with 6 left over.
Let’s break this down step by step.
114/12 Using Long Division
To solve 114 ÷ 12 using the long division method:
- Write 114 under the division bar and 12 outside it.
- Check how many times 12 goes into 11 — it doesn’t, because 12 is greater than 11.
- Now check how many times 12 goes into 114.
- 12 × 9 = 108
- 12 × 10 = 120 (too high)
So, 12 goes into 114 9 times.
- Subtract 108 from 114:
- 114 − 108 = 6
So, the quotient is 9 and the remainder is 6.
That gives us 114 ÷ 12 = 9 R6.
To express this as a decimal:
[6 ÷ 12 = 0.5]Therefore,
[114 ÷ 12 = 9.5]Using the Distributive Property
We can also solve by splitting 114 into parts:
[114 ÷ 12 = (96 ÷ 12) + (18 ÷ 12)]Now divide each part:
[96 ÷ 12 = 8 18 ÷ 12 = 1.5]Add both results:
[8 + 1.5 = 9.5]So again, 114 ÷ 12 = 9.5.
Verification
To check your answer, multiply the quotient by the divisor and add the remainder:
[(9 × 12) + 6 = 108 + 6 = 114]The calculation is correct!
Conclusion
- Answer: 9 remainder 6
- Decimal form: 9.5
- Fraction form: ( 9 \frac{6}{12} = 9 \frac{1}{2} )
So, 114 divided by 12 equals 9.5, a simple yet clear example of how division works with remainders and decimals.
