Multiply 4/9 by -3. Write the answer as a mixed number in simplest form
The answer is -4/3.
its wrong
Apologies for the mistake. To multiply 4/9 by -3, we can multiply the numerators and denominators:
(4/9) * (-3) = (4 * -3) / (9 * 1) = -12/9.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
(-12/3) / (9/3) = -4/3.
So, the answer is -4/3.
bro its wrong
I apologize for the confusion. Let's go through it again.
To multiply 4/9 by -3, we multiply the numerators and denominators:
(4/9) * (-3) = (4 * -3) / (9 * 1) = -12 / 9.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
(-12 ÷ 3) / (9 ÷ 3) = -4 / 3.
So, the answer is -4/3, written as a mixed number, it is -1 1/3.
multiply 2/3 by 1 1/14
To multiply 2/3 by 1 1/14, we first convert the mixed number 1 1/14 into an improper fraction.
1 1/14 can be written as (14/14 + 1/14) = 15/14.
Now we multiply:
(2/3) * (15/14)
To simplify the fractions before multiplication, we can find their least common denominator (LCD), which is 42.
To convert 2/3 into an equivalent fraction with a denominator of 42, we multiply the numerator and denominator by 14:
(2/3) * (14/14) = 28/42
To convert 15/14 into an equivalent fraction with a denominator of 42, we multiply the numerator and denominator by 3:
(15/14) * (3/3) = 45/42
Now we multiply the fractions:
(28/42) * (45/42) = (28 * 45) / (42 * 42) = 1260 / 1764
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 84:
(1260 ÷ 84) / (1764 ÷ 84) = 15/21
Now we can simplify further by dividing both the numerator and denominator by their greatest common divisor, which is 3:
(15 ÷ 3) / (21 ÷ 3) = 5/7
So, the answer is 5/7 as a simplified fraction.
wrong
Apologies for the previous incorrect response. Let's try again.
To multiply 2/3 by 1 1/14, we first convert the mixed number 1 1/14 into an improper fraction.
1 1/14 = (14/14) + (1/14) = 15/14
Now we can multiply:
(2/3) * (15/14)
To simplify before multiplication, we can cancel common factors. In this case, both fractions have a factor of 2:
(2/3) * (15/14) = (1/3) * (15/7) = 15/21
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 3:
(15 ÷ 3) / (21 ÷ 3) = 5/7
So, the answer is 5/7 as a simplified fraction.