Multiply 4/9 by −3. Write the answer as a mixed number in simplest form.(1 point
To multiply 4/9 by -3, we can first convert -3 to an improper fraction. -3 is the same as -3/1.
Next, we multiply the numerators and denominators:
(4/9) * (-3/1) = (4 * -3) / (9 * 1)
Simplifying, we get:
-12 / 9
To simplify further, we can divide both the numerator and denominator by the greatest common divisor, which is 3:
(-12 / 9) ÷ 3/3 = -4/3
Since the numerator (-4) is greater than the denominator (3), this is an improper fraction. To convert it to a mixed number, we divide the numerator (-4) by the denominator (3):
-4 ÷ 3 = -1 remainder 1
The mixed number in simplest form is thus:
-1 and 1/3
Multiply 2/3 by 1 1/4. Write the answer in simplest form.(1 point)
To multiply 2/3 by 1 1/4, we first need to convert 1 1/4 to an improper fraction.
To do this, we multiply the whole number (1) by the denominator (4) and add the numerator (1). This gives us 5.
So, 1 1/4 is equivalent to 5/4.
Next, we multiply the fractions:
(2/3) * (5/4) = (2 * 5) / (3 * 4) = 10/12
To simplify this fraction, we divide both the numerator and denominator by their greatest common divisor, which is 2:
(10/12) ÷ (2/2) = 5/6
Thus, the answer in simplest form is 5/6.
Multiply 9.6 by 0.2. Write the answer as a decimal.(1 point)
To multiply 9.6 by 0.2, we simply multiply the two numbers together:
9.6 * 0.2 = 1.92
So, the answer is 1.92.
Multiply 2.6 by −1.3.(1 point)
To multiply 2.6 by -1.3, we simply multiply the two numbers together:
2.6 * (-1.3) = -3.38
So, the answer is -3.38.