Multiply 4/9 by −3. Write the answer as a mixed number in simplest form. show your work.
To multiply 4/9 by -3, we multiply the numerators together and the denominators together:
(4/9) * (-3) = (4 * -3) / (9) = -12/9
To simplify this fraction, we divide both the numerator and the denominator by their greatest common factor, which is 3:
(-12/9) ÷ 3/3 = -4/3
Therefore, the answer is -4/3 written as a mixed number in simplest form.
To multiply 4/9 by -3, we can follow these steps:
Step 1: Multiply the numerators: 4 * -3 = -12.
Step 2: Multiply the denominators: 9 * 1 = 9.
Step 3: Write the result as a fraction: -12/9.
Now, let's simplify the fraction. We can divide both the numerator and the denominator by their greatest common divisor (in this case, 3).
Step 4: Simplify the fraction: -12 ÷ 3 / 9 ÷ 3 = -4/3.
Finally, we can write the answer as a mixed number. To convert the improper fraction -4/3 to a mixed number, we divide the numerator (4) by the denominator (3) and write the quotient as the whole number (1) and the remainder (1) as the new numerator above the denominator.
Step 5: Write the answer as a mixed number: 1 1/3.
So, the answer to multiplying 4/9 by -3 as a mixed number in simplest form is 1 1/3.