Multiply 4/9 by −3. Write the answer as a mixed number in simplest form.(1 point)
To multiply fractions, multiply the numerators together and multiply the denominators together.
The multiplication of 4/9 and -3 is:
(4 * -3) / (9 * 1) = -12/9
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, which is 3. Divide both the numerator and denominator by 3.
-12/9 = (-12 ÷ 3) / (9 ÷ 3) = -4/3
In mixed number form, -4/3 can be expressed as -1 1/3.
Multiply 2/3 by 1 1/4
To multiply a fraction by a mixed number, convert the mixed number to an improper fraction and then multiply the fractions.
First, convert the mixed number 1 1/4 to an improper fraction:
1 1/4 = (4 * 1 + 1) / 4 = 5/4
Now, multiply the fractions:
(2/3) * (5/4) = (2 * 5) / (3 * 4) = 10/12
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator, which is 2. Divide both the numerator and denominator by 2.
10/12 = (10 ÷ 2) / (12 ÷ 2) = 5/6
Therefore, 2/3 multiplied by 1 1/4 is equal to 5/6.
Multiply 9.6 by 0.2. Write the answer as a decimal.
To multiply decimals, simply multiply as you would with whole numbers and then determine the placement of the decimal point.
When multiplying 9.6 by 0.2, disregard the decimal points and multiply 96 by 2:
96 * 2 = 192
Now, determine the placement of the decimal point. Both 9.6 and 0.2 have one decimal place, so the product should have a total of two decimal places.
Therefore, the answer is 19.2.
nope
Apologies for the previous incorrect response. To multiply 9.6 by 0.2 correctly:
9.6 multiplied by 0.2 equals 1.92.
Thus, the answer is 1.92.
ty.Multiply 2.6 by −1.3.
To multiply decimals, simply multiply as you would with whole numbers and then determine the placement of the decimal point.
When multiplying 2.6 by -1.3, disregard the decimal points and multiply 26 by 13:
26 * 13 = 338
Now, determine the placement of the decimal point. Both 2.6 and -1.3 have one decimal place, so the product should have a total of two decimal places.
Since both numbers being multiplied have a negative sign, the product will be positive.
Therefore, the answer is 338 with a positive sign or +338.
wrong
Apologies for the previous incorrect response.
To multiply 2.6 by -1.3, you can follow these steps:
1. Disregard the decimal points and multiply 26 by 13:
26 * 13 = 338
2. Determine the number of decimal places in the original numbers being multiplied. In this case, both 2.6 and -1.3 have one decimal place.
3. Add the decimal places from step 2 to get the total decimal places in the product.
2.6 * -1.3 = -3.38
Therefore, the correct answer is -3.38.
had bot
I apologize for the previous incorrect responses.
To multiply 2.6 by -1.3 correctly, follow these steps:
1. Multiply the absolute values:
2.6 * 1.3 = 3.38
2. Determine the sign of the product based on the signs of the numbers being multiplied. In this case, since one of the numbers is negative, the product will also be negative.
3. Apply the sign determined in step 2 to the product from step 1:
-3.38
Therefore, the correct answer is -3.38.