Multiply 3/7 by 9/10
.
To multiply fractions, you simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together.
So, to multiply 3/7 by 9/10, you would multiply 3 by 9 to get 27 as the numerator, and multiply 7 by 10 to get 70 as the denominator.
Therefore, the answer is 27/70.
Multiply 4/9 by −3
. Write the answer as a mixed number in simplest form.
To multiply a fraction by a whole number, you multiply the numerator of the fraction by the whole number.
So, to multiply 4/9 by -3, you would multiply 4 by -3 to get -12 as the numerator.
The denominator remains the same, so the fraction remains as 4/9.
Since the numerator is negative, the answer is negative.
Therefore, the answer is -12/9.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which in this case is 3.
Dividing -12 by 3 gives us -4, and dividing 9 by 3 gives us 3.
So, the simplified fraction is -4/3.
To write this as a mixed number, we divide the numerator (-4) by the denominator (3).
Since -4 divided by 3 gives us -1 with a remainder of 1, the mixed number is -1 1/3.
Multiply 2/3 by 1 1/4
. Write the answer in simplest form
To multiply a fraction by a mixed number, we first need to convert the mixed number to an improper fraction.
To do this, we multiply the whole number part (1) by the denominator (4) and add it to the numerator (1).
1 * 4 + 1 = 4 + 1 = 5
So, 1 1/4 can be written as the improper fraction 5/4.
Now, we can multiply 2/3 by 5/4:
(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 in this case is 2.
Dividing 10 by 2 gives us 5, and dividing 12 by 2 gives us 6.
So, the simplified fraction is 5/6.
Multiply 9.6 by 0.2. Write the answer as a decimal
To multiply decimals, we can do it as if the decimals were whole numbers, and then adjust the decimal point in the final answer.
So, multiplying 9.6 by 0.2, we would ignore the decimal points initially:
96 * 2 = 192.
Then, we count the total number of decimal places in both numbers (1 in 9.6 and 1 in 0.2), which gives us a total of 2 decimal places.
Therefore, the final answer, with the correct decimal placement, is 19.2.
Multiply 9.6 by 0.2.
To multiply decimals, we can multiply the numbers as if they were whole numbers, and then adjust the decimal point in the final answer.
So, multiplying 9.6 by 0.2:
9.6 * 0.2 = 1.92
Therefore, the answer is 1.92.
Multiply 2.6 by −1.3
.
To multiply decimals, we can multiply the numbers as if they were whole numbers, and then adjust the decimal point in the final answer.
So, multiplying 2.6 by -1.3:
2.6 * (-1.3) = -3.38
Therefore, the answer is -3.38.
Use properties of operations and rules for multiplying signed numbers to multiply −25 by 310
. Write the answer in simplest form.(1 point)
Responses
−325
negative Start Fraction 3 over 25 End Fraction
−65
negative Start Fraction 6 over 5 End Fraction
−650
negative Start Fraction 6 over 50 End Fraction
35
To multiply a positive and a negative number, we multiply their absolute values and give the product a negative sign.
So, to multiply −25 by 310:
|-25| * |310| = 25 * 310 = 7750
Since we are multiplying a negative number, the product is negative.
Therefore, the answer is -7750.
Use properties of operations and rules for multiplying signed numbers to multiply −2/5 by 3/10
. Write the answer in simplest form.(1 point)
Responses
−3/25
−6/5
−6/50
3/5
To multiply fractions, you simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together.
So, to multiply -2/5 by 3/10:
(-2/5) * (3/10) = (-2 * 3) / (5 * 10) = -6/50
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which in this case is 2.
Dividing -6 by 2 gives us -3, and dividing 50 by 2 gives us 25.
Therefore, the answer is -3/25.
Multiply 4 by −5/8. Write the answer as a mixed number in simplest form.(1 point)
Responses
−2 1/2
−5/2
−2 4/8
−10
To multiply a whole number by a fraction, you multiply the whole number by the numerator of the fraction, and keep the denominator the same.
So, to multiply 4 by -5/8:
4 * (-5/8) = (-20/8)
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which in this case is 4.
Dividing -20 by 4 gives us -5, and dividing 8 by 4 gives us 2.
Therefore, the simplified fraction is -5/2.
To write this as a mixed number, we divide the numerator (-5) by the denominator (2).
Since -5 divided by 2 gives us -2 with a remainder of 1, the mixed number is -2 1/2.
Therefore, the answer is -2 1/2.
Multiply 6.5 by 0.3. Write the answer as a decimal.(1 point)
Responses
1.95
1.95
0.195
0.195
19.5
19.5
1.86
To multiply decimals, we can multiply the numbers as if they were whole numbers, and then adjust the decimal point in the final answer.
So, multiplying 6.5 by 0.3:
6.5 * 0.3 = 1.95
Therefore, the answer is 1.95.
Multiply −19.3 by 6.(1 point)
Responses
115.8
115.8
−114.8
negative 114.8
−25.3
negative 25.3
−115.8
negative 115.8
To multiply two decimals together, we can multiply them as if they were whole numbers, and then adjust the decimal point in the final answer.
So, multiplying -19.3 by 6:
|-19.3| * |6| = 19.3 * 6 = 115.8
Since we are multiplying a negative number, the product is negative.
Therefore, the answer is -115.8.
Multiply −2 1/2 by −1 3/5. Write the answer as a decimal.(1 point)
Responses
2.86
4
−4.1
−4
To multiply mixed numbers, we first convert them to improper fractions, then multiply the fractions together, and finally convert the product back to a mixed number.
So, -2 1/2 can be written as -5/2 and -1 3/5 can be written as -8/5.
Multiplying -5/2 by -8/5:
(-5/2) * (-8/5) = (5 * 8) / (2 * 5) = 40/10 = 4.
Therefore, the decimal answer is 4.