Multiply 4/9 by -3. Write the answer as a mixed number in simplest form. (1 point)
-4/3
4/9 * (-3)
To multiply fractions, we multiply the numerators and multiply the denominators.
4/9 * (-3) = (4 * -3) / (9) = -12/9
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3.
-12/9 = -4/3
The answer as a mixed number in simplest form is -1 1/3.
2/3 * 1 1/4
To multiply mixed numbers, we need to convert them to improper fractions.
1 1/4 = (4 * 1 + 1) / 4 = 5/4
Now, we can multiply the fractions.
2/3 * 5/4 = (2 * 5) / (3 * 4) = 10/12
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
10/12 = 5/6
Therefore, 2/3 * 1 1/4 = 5/6.
9.6 * 0.2
To multiply decimals, we can ignore the decimal point and multiply the numbers as if they were whole numbers. Then, we count the total number of decimal places in the original numbers and place the decimal point in the product accordingly.
In this case, we have:
9.6 * 0.2 = 96 * 2 = 192
Next, we count the decimal places. The original numbers had one decimal place each. Therefore, the product should have a total of two decimal places.
Thus, the final answer is 192 with two decimal places, written as 192.00.
9.6 * 0.2
(192.00 is NOT the answer.)
To multiply the fraction 4/9 by -3, you'll need to follow these steps:
Step 1: Multiply the numerators of the fractions. The numerator of 4/9 is 4.
4/9 * -3 = 4 * -3
Step 2: Multiply the denominators of the fractions. The denominator of 4/9 is 9.
4/9 * -3 = 4 * -3 / 9
Step 3: Simplify the resulting fraction if possible. In this case, we can simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 1.
4 * -3 = -12
Therefore, the product of 4/9 and -3 is -12.
However, the question asks for the answer to be written as a mixed number in simplest form. To convert the improper fraction -12/1 to a mixed number, divide the numerator by the denominator:
-12 divided by 1 equals -12
So, in simplest form, the answer is -12.