Multiply 4/9 by −3. Write the answer as a mixed number in simplest form.(1 point)
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To multiply fractions, we multiply the numerators and the denominators.
The multiplication of 4/9 and -3 is (4*-3)/(9*1) = -12/9.
To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 3 in this case.
-12 divided by 3 is -4, and 9 divided by 3 is 3.
Therefore, the simplified fraction is -4/3.
To write it as a mixed number, we divide the numerator (-4) by the denominator (3).
The quotient is -1 with a remainder of 1.
So, -4/3 is equal to -1 and 1/3.
Thus, the answer as a mixed number in simplest form is -1 1/3.
To multiply the fraction 4/9 by -3, you can follow these steps:
Step 1: Multiply the numerators (top numbers) together: 4 * -3 = -12.
Step 2: Multiply the denominators (bottom numbers) together: 9 * 1 = 9.
Step 3: Simplify the fraction if possible.
Since -12 and 9 are both divisible by 3, you can divide them both by 3 to simplify the fraction.
-12 ÷ 3 = -4
9 ÷ 3 = 3
So the simplified fraction is -4/3.
Step 4: Rewrite the fraction as a mixed number.
To write -4/3 as a mixed number, you divide the numerator (-4) by the denominator (3).
-4 ÷ 3 = -1 and remainder 1.
Therefore, the mixed number in simplest form is -1 1/3.