Divide 11 by -4. Write the answer as a mixed number with the correct sign.
To divide 11 by -4, we can write it as a fraction: 11/-4.
Dividing 11 by 4 gives us a quotient of -2 with a remainder of 3.
So the mixed number is -2 3/4.
To divide 11 by -4, follow these steps:
Step 1: Perform the division: 11 ÷ -4 = -2.75
Step 2: Convert the decimal answer to a mixed number by separating the whole number and the fractional part.
Since -2.75 is negative, the whole number will also be negative.
Step 3: The whole number part is -2.
Step 4: To find the fractional part, take the decimal part after the whole number and express it as a fraction.
Step 5: The decimal part is .75. We convert it to a fraction by putting it over 100: .75 = 75/100.
Step 6: Reduce the fraction to the simplest form. Both 75 and 100 can be divided by 25: 75 ÷ 25 = 3 and 100 ÷ 25 = 4. Therefore, 75/100 simplifies to 3/4.
Step 7: The mixed number with the correct sign is -2 3/4.
Therefore, the answer to dividing 11 by -4 and writing it as a mixed number with the correct sign is -2 3/4.
To divide 11 by -4 and write the answer as a mixed number with the correct sign, follow these steps:
Step 1: Perform the division: 11 ÷ -4
Step 2: Divide the absolute values of the numbers: 11 ÷ 4 = 2 remainder 3
Step 3: Determine the sign of the mixed number: If the signs of the original numbers are the same, the mixed number has a positive sign. If the signs are different, the mixed number has a negative sign.
In this case, since 11 is positive and -4 is negative, the mixed number will have a negative sign.
Step 4: Write the mixed number: To write 2 remainder 3 as a mixed number, use the whole number portion as the integer part and the remainder as the fractional part. The remainder (3) is written over the divisor (4) as a fraction.
Therefore, the answer to 11 ÷ -4 as a mixed number with the correct sign is: -2 3/4.