The remainder in the expression $27\frac{3}{4}$ is:
A mixed number combines a whole number and a fraction. The expression $27\frac{3}{4}$ is a mixed number.
Understanding the Mixed Number Components
In the mixed number $27\frac{3}{4}$:
- The whole number part (integer) is $27$.
- The fractional part is $\frac{3}{4}$.
- In the fractional part $\frac{3}{4}$, the number $3$ is the numerator and $4$ is the denominator.
Identifying the Remainder
The question asks for the "remainder" in the expression $27\frac{3}{4}$. In the context of mixed numbers, this typically refers to the numerator of the fractional part.
Therefore, the numerator of the fractional part $\frac{3}{4}$ is $3$.
This value, $3$, represents the remainder if the mixed number were derived from an improper fraction calculation (e.g., $111 \div 4 = 27$ with a remainder of $3$).
Conclusion
The remainder, meaning the numerator of the fractional part, in the expression $27\frac{3}{4}$ is $3$.
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Important Questions from Divisibility and Remainder
If the 8-digit number 888x53y4 is divisible by 72, then what is the value of (7x + 2y), for the maximum value of y?
If all positive divisors of 132 are arranged in descending order, then what digit will be at unit place of first divisor ?
If 3 2019 is divided by 10, then what is the remainder?
The number 3798125P369 is divisible by 7. What is the value of the digit P?
Consider all 3-digit numbers (without repetition of digits) obtained using three non-zero digits which are multiples of 3. Let S be their sum.
Which of the following is/are correct?
1. S is always divisible by 74.
2. S is always divisible by 9.
select the correct answer using the code given below:
