divide 11 by -4 write as a mixed number
To divide 11 by -4, you can use long division or a calculator.
Using long division, you would set up the division as follows:
-4 | 11
Since -4 is not a factor of 11, you need to express 11 as a multiple of -4 plus a remainder. To do this, you would divide the absolute values of 11 and -4:
-4 | 11
-8
Subtracting -8 from 11, you get:
-4 | 11
-8
-----
3
Therefore, 11 divided by -4 is equal to -2 with a remainder of 3. This can be written as a mixed number by expressing the remainder as a fraction over the divisor -4:
-2 + 3/-4
Simplifying the fraction, you get:
-2 - 3/4
Hence, 11 divided by -4 as a mixed number is -2 3/4.
To divide 11 by -4 and express the result as a mixed number, follow these steps:
Step 1: Perform the division: 11 divided by -4 equals -2.75.
Step 2: Convert the decimal portion (-0.75) into a fractional form. Since there are two decimal places, the denominator will be 100:
-0.75 = -75/100.
Step 3: Simplify the fraction if possible. In this case, you can divide both the numerator and denominator by 25:
-0.75 = -75/100 = -3/4.
Step 4: Combine the whole number (-2) with the simplified fraction (-3/4):
-2 - 3/4 = -2 3/4.
So, 11 divided by -4 as a mixed number is -2 3/4.
To divide 11 by -4 and express the result as a mixed number, you can follow these steps:
Step 1: Find the quotient
Divide the absolute value of 11 by the absolute value of -4: |11| ÷ |-4| = 11 ÷ 4 = 2.75
Step 2: Determine the whole number
The whole number is the largest whole number that can be divided evenly by -4, which is -3. So, the whole number in the mixed number will be -3.
Step 3: Determine the fractional part
To find the fractional part of the mixed number, we subtract the product of the whole number and the divisor from the numerator of the original fraction. In this case, the numerator is 11, and the divisor is -4.
11 - (-3 × -4) = 11 - 12 = -1
Step 4: Simplify the mixed number
Combine the whole number and the fractional part to create the mixed number. The mixed number is written as:
-3 - 1/4 or -3 1/4