4/9 by -3 write the answer as a mixed number in simplest form

To divide 4/9 by -3, we multiply the numerator by -3: 4 * -3 = -12. The denominator remains the same: 9.

Therefore, the answer is -12/9. To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 3.

-12/9 ÷ 3/3 = -4/3.

So the answer, written as a mixed number in simplest form, is -1 1/3.

To divide 4/9 by -3 and write the answer as a mixed number in simplest form, follow these steps:

Step 1: Start by dividing the absolute values of the numbers: 4 ÷ 9 = 4/9

Step 2: Determine the sign of the result. Since you are dividing by a negative number (-3), the overall result will be negative.

Step 3: Divide the absolute value by the negative number. 4/9 ÷ -3 = 4/9 × -1/3 = -4/27

Step 4: Convert the improper fraction -4/27 to a mixed number. To do this, divide the numerator by the denominator: 4 ÷ 27. The quotient is 0 with a remainder of 4.

Step 5: Write the mixed number. The mixed number is formed by using the quotient as the whole number part, and the remainder (4) as the numerator of the fractional part. The denominator remains the same: -4/27 = -0 4/27

So, 4/9 divided by -3 as a mixed number in simplest form is -0 4/27.