Multiply
4
9
by
−3
. Write the answer as a mixed number in simplest form.(1 point)
Multiply 2.6 by
−1.3
.(1 point)
To multiply 4/9 by -3, we can first multiply the whole numbers: 4 * -3 = -12.
Next, we multiply the fractions: 1/9 * 3 = 3/9.
Now, we can add the results: -12 + 3/9.
To simplify the fraction, we can reduce 3/9 by dividing both the numerator and denominator by their greatest common divisor, which is 3.
Simplifying, we get: -12 + 1/3.
So, the answer in mixed number form is -12 1/3.
To multiply 4 9 by −3, follow these steps:
Step 1: Convert the mixed number into an improper fraction.
4 9 can be converted into an improper fraction as (4 x 9) + 9 = 36 + 9 = 45.
So, 4 9 can be written as an improper fraction as 45/9.
Step 2: Multiply the numerator (top number) of the fraction by the given number.
Multiply 45 by -3:
45 * -3 = -135.
Step 3: Simplify the resulting fraction, if possible.
Since the question asks for the answer as a mixed number in simplest form, we need to find the whole number and remainder.
Divide the numerator (-135) by the denominator (9):
-135 ÷ 9 = -15.
The whole number part is -15.
The remainder is found by taking the absolute value of the numerator and subtracting the product of the whole number and denominator:
Remainder = | -135 | - (15 x 9) = 135 - 135 = 0.
Hence, the answer to 4 9 multiplied by -3 as a mixed number in simplest form is -15.
When you multiply 4 by -3, you get -12. To write this as a mixed number in simplest form, you would divide -12 by 9.
-12 divided by 9 is -1 with a remainder of -3.
Therefore, the answer is -1 -3/9.