To solve the expression 3/8 * (-2/3), we need to multiply the numerators and denominators separately.
First, let's multiply the numerators: 3 * -2 = -6
Then, let's multiply the denominators: 8 * 3 = 24
Putting these values together, we have: -6/24
However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 6.
-6 divided by 6 equals -1, and 24 divided by 6 equals 4.
Therefore, the simplified expression is: -1/4.
3/8(−2/3)
25 answers
Thx Thats right
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−2 1/4×(−5 2/3)
To solve the expression -2 1/4 * (-5 2/3), we can first convert the mixed numbers into improper fractions.
-2 1/4 can be written as -9/4, since -2 multiplied by 4 is -8, and adding 1 gives us -9 over 4.
Similarly, -5 2/3 can be written as -17/3. -5 multiplied by 3 is -15, and adding 2 gives us -17 over 3.
Next, we can multiply the numerators and denominators separately.
(-9/4) * (-17/3) = (9 * 17) / (4 * 3) = 153/12.
Now, we can simplify this fraction. The greatest common divisor of 153 and 12 is 3.
Dividing both the numerator and denominator by 3, we get:
153 divided by 3 equals 51, and 12 divided by 3 equals 4.
Therefore, the simplified expression is 51/4.
-2 1/4 can be written as -9/4, since -2 multiplied by 4 is -8, and adding 1 gives us -9 over 4.
Similarly, -5 2/3 can be written as -17/3. -5 multiplied by 3 is -15, and adding 2 gives us -17 over 3.
Next, we can multiply the numerators and denominators separately.
(-9/4) * (-17/3) = (9 * 17) / (4 * 3) = 153/12.
Now, we can simplify this fraction. The greatest common divisor of 153 and 12 is 3.
Dividing both the numerator and denominator by 3, we get:
153 divided by 3 equals 51, and 12 divided by 3 equals 4.
Therefore, the simplified expression is 51/4.
Find the product and simplify your answer to a mixed number.
−2 1/4×(−5 2/3)
(2 points)
Responses
10 1/6
10 and 1 sixth
12 3/4
12 and 3 fourths
−12 3/4
negative 12 and 3 fourths
−7 3/4
negative 7 and 3 fourths
−2 1/4×(−5 2/3)
(2 points)
Responses
10 1/6
10 and 1 sixth
12 3/4
12 and 3 fourths
−12 3/4
negative 12 and 3 fourths
−7 3/4
negative 7 and 3 fourths
To solve the expression -2 1/4 * (-5 2/3), we can convert the mixed numbers into improper fractions.
-2 1/4 can be written as -9/4, since -2 multiplied by 4 is -8, and adding 1 gives us -9 over 4.
Similarly, -5 2/3 can be written as -17/3. -5 multiplied by 3 is -15, and adding 2 gives us -17 over 3.
Next, we can multiply the numerators and denominators separately.
(-9/4) * (-17/3) = (9 * 17) / (4 * 3) = 153/12.
Now, we can simplify this fraction. The greatest common divisor of 153 and 12 is 3.
Dividing both the numerator and denominator by 3, we get:
153 divided by 3 equals 51, and 12 divided by 3 equals 4.
Therefore, the simplified fraction is 51/4.
To express the answer as a mixed number, we divide the numerator (51) by the denominator (4). The quotient is the whole number, and the remainder is the numerator of the fraction.
51 divided by 4 equals 12 with a remainder of 3.
So, the simplified answer as a mixed number is 12 3/4.
-2 1/4 can be written as -9/4, since -2 multiplied by 4 is -8, and adding 1 gives us -9 over 4.
Similarly, -5 2/3 can be written as -17/3. -5 multiplied by 3 is -15, and adding 2 gives us -17 over 3.
Next, we can multiply the numerators and denominators separately.
(-9/4) * (-17/3) = (9 * 17) / (4 * 3) = 153/12.
Now, we can simplify this fraction. The greatest common divisor of 153 and 12 is 3.
Dividing both the numerator and denominator by 3, we get:
153 divided by 3 equals 51, and 12 divided by 3 equals 4.
Therefore, the simplified fraction is 51/4.
To express the answer as a mixed number, we divide the numerator (51) by the denominator (4). The quotient is the whole number, and the remainder is the numerator of the fraction.
51 divided by 4 equals 12 with a remainder of 3.
So, the simplified answer as a mixed number is 12 3/4.
Find the product and simplify to a mixed number.
3 1/2×(−5)
(2 points)
Responses
−17 1/2
negative 17 and 1 half
17 1/2
17 and 1 half
−10 1/2
negative 10 and 1 half
−15 1/2
3 1/2×(−5)
(2 points)
Responses
−17 1/2
negative 17 and 1 half
17 1/2
17 and 1 half
−10 1/2
negative 10 and 1 half
−15 1/2
To solve the expression 3 1/2 * (-5), we first convert the mixed number 3 1/2 to an improper fraction.
3 1/2 can be written as 7/2, since 3 multiplied by 2 is 6, and adding 1 gives us 7 over 2.
Next, we multiply the numerator and denominator of 7/2 by -5:
(7/2) * (-5) = (7 * -5) / 2 = -35/2.
To simplify this fraction, we divide both the numerator (-35) and the denominator (2) by their greatest common divisor, which is 1.
Dividing -35 by 1 gives us -35, and dividing 2 by 1 gives us 2.
Therefore, the simplified fraction is -35/2.
To express the answer as a mixed number, we divide the numerator (-35) by the denominator (2). The quotient is the whole number, and the remainder is the numerator of the fraction.
-35 divided by 2 equals -17 with a remainder of 1.
So, the simplified answer as a mixed number is -17 1/2.
3 1/2 can be written as 7/2, since 3 multiplied by 2 is 6, and adding 1 gives us 7 over 2.
Next, we multiply the numerator and denominator of 7/2 by -5:
(7/2) * (-5) = (7 * -5) / 2 = -35/2.
To simplify this fraction, we divide both the numerator (-35) and the denominator (2) by their greatest common divisor, which is 1.
Dividing -35 by 1 gives us -35, and dividing 2 by 1 gives us 2.
Therefore, the simplified fraction is -35/2.
To express the answer as a mixed number, we divide the numerator (-35) by the denominator (2). The quotient is the whole number, and the remainder is the numerator of the fraction.
-35 divided by 2 equals -17 with a remainder of 1.
So, the simplified answer as a mixed number is -17 1/2.
Thx So far all are right
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Find the quotient and simplify.
−5/6÷(−3/2)
(2 points)
Responses
5/6
5 sixths
1 1/4
1 and 1 fourth
5/9
5 ninths
−5/9
−5/6÷(−3/2)
(2 points)
Responses
5/6
5 sixths
1 1/4
1 and 1 fourth
5/9
5 ninths
−5/9
To find the quotient of -5/6 divided by -3/2, we can multiply the dividend by the reciprocal of the divisor.
The reciprocal of -3/2 is -2/3. To find the reciprocal, we simply swap the numerator and denominator.
So, the expression becomes: -5/6 * -2/3.
Next, we multiply the numerators and denominators separately.
(-5 * -2) / (6 * 3) = 10/18.
To simplify this fraction, we can find the greatest common divisor of 10 and 18, which is 2.
Dividing both the numerator and denominator by 2, we get:
10 divided by 2 equals 5, and 18 divided by 2 equals 9.
Therefore, the simplified quotient is 5/9.
The reciprocal of -3/2 is -2/3. To find the reciprocal, we simply swap the numerator and denominator.
So, the expression becomes: -5/6 * -2/3.
Next, we multiply the numerators and denominators separately.
(-5 * -2) / (6 * 3) = 10/18.
To simplify this fraction, we can find the greatest common divisor of 10 and 18, which is 2.
Dividing both the numerator and denominator by 2, we get:
10 divided by 2 equals 5, and 18 divided by 2 equals 9.
Therefore, the simplified quotient is 5/9.
Find the quotient and simplify to a mixed number.
−4 2/3÷3 1/5
(2 points)
Responses
−7 2/15
negative 7 and 2 over 15
−1 11/24
negative 1 and 11 over 24
1 11/24
1 and 11 over 24
−12 2/15
−4 2/3÷3 1/5
(2 points)
Responses
−7 2/15
negative 7 and 2 over 15
−1 11/24
negative 1 and 11 over 24
1 11/24
1 and 11 over 24
−12 2/15
To find the quotient of -4 2/3 divided by 3 1/5, we first convert the mixed numbers into improper fractions.
-4 2/3 can be written as -14/3, since -4 multiplied by 3 is -12, and adding 2 gives us -14 over 3.
Similarly, 3 1/5 can be written as 16/5. 3 multiplied by 5 is 15, and adding 1 gives us 16 over 5.
Next, we divide the numerator (-14) by the numerator (16), and the denominator (3) by the denominator (5):
(-14/3) / (16/5) = (-14/3) * (5/16) = (-14 * 5) / (3 * 16) = -70/48.
To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 2.
Dividing -70 by 2 gives us -35, and dividing 48 by 2 gives us 24.
Therefore, the simplified fraction is -35/24.
To express the answer as a mixed number, we divide the numerator (-35) by the denominator (24). The quotient is the whole number, and the remainder is the numerator of the fraction.
-35 divided by 24 equals -1 with a remainder of 11.
So, the simplified answer as a mixed number is -1 11/24.
-4 2/3 can be written as -14/3, since -4 multiplied by 3 is -12, and adding 2 gives us -14 over 3.
Similarly, 3 1/5 can be written as 16/5. 3 multiplied by 5 is 15, and adding 1 gives us 16 over 5.
Next, we divide the numerator (-14) by the numerator (16), and the denominator (3) by the denominator (5):
(-14/3) / (16/5) = (-14/3) * (5/16) = (-14 * 5) / (3 * 16) = -70/48.
To simplify this fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 2.
Dividing -70 by 2 gives us -35, and dividing 48 by 2 gives us 24.
Therefore, the simplified fraction is -35/24.
To express the answer as a mixed number, we divide the numerator (-35) by the denominator (24). The quotient is the whole number, and the remainder is the numerator of the fraction.
-35 divided by 24 equals -1 with a remainder of 11.
So, the simplified answer as a mixed number is -1 11/24.
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What is the quotient of −18.42 ÷ −1.2?(1 point)
Responses
−15.35
negative 15.35
153.5
153.5
15.35
15.35
1,535
Responses
−15.35
negative 15.35
153.5
153.5
15.35
15.35
1,535
To find the quotient of -18.42 ÷ -1.2, we can divide the two numbers:
-18.42 ÷ -1.2 = 15.35
Therefore, the quotient is 15.35.
-18.42 ÷ -1.2 = 15.35
Therefore, the quotient is 15.35.
What is the quotient when you divide −1011 by −25?(1 point)
Responses
411
Start Fraction 4 over 11 End Fraction
−2311
negative 2 Start Fraction 3 over 11 End Fraction
234
2 Start Fraction 3 over 4 End Fraction
2311
Responses
411
Start Fraction 4 over 11 End Fraction
−2311
negative 2 Start Fraction 3 over 11 End Fraction
234
2 Start Fraction 3 over 4 End Fraction
2311
To find the quotient when you divide -1011 by -25, you can perform the division operation:
-1011 ÷ -25 = 40.44
Therefore, the quotient is 40.44.
-1011 ÷ -25 = 40.44
Therefore, the quotient is 40.44.
What is the quotient when you divide −10/11 by −2/5?(1 point)
Responses
4/11
Start Fraction 4 over 11 End Fraction
−2 3/11
negative 2 Start Fraction 3 over 11 End Fraction
2 3/4
2 Start Fraction 3 over 4 End Fraction
2 3/11
Responses
4/11
Start Fraction 4 over 11 End Fraction
−2 3/11
negative 2 Start Fraction 3 over 11 End Fraction
2 3/4
2 Start Fraction 3 over 4 End Fraction
2 3/11
To find the quotient when you divide -10/11 by -2/5, you can multiply the dividend by the reciprocal of the divisor:
-10/11 ÷ -2/5 = -10/11 * -5/2
Next, multiply the numerators and denominators separately:
(-10 * -5) / (11 * 2) = 50/22
To simplify this fraction, find the greatest common divisor of 50 and 22, which is 2.
Dividing both the numerator and the demoninator by 2, we get:
50/22 = 25/11
Therefore, the quotient is 25/11.
-10/11 ÷ -2/5 = -10/11 * -5/2
Next, multiply the numerators and denominators separately:
(-10 * -5) / (11 * 2) = 50/22
To simplify this fraction, find the greatest common divisor of 50 and 22, which is 2.
Dividing both the numerator and the demoninator by 2, we get:
50/22 = 25/11
Therefore, the quotient is 25/11.
What is the quotient when you divide −3/4 by 3/8?(1 point)
Responses
2
2
−3 5/9
negative 3 Start Fraction 5 over 9 End Fraction
−9/32
negative Start Fraction 9 over 32 End Fraction
−2
negative 2
Responses
2
2
−3 5/9
negative 3 Start Fraction 5 over 9 End Fraction
−9/32
negative Start Fraction 9 over 32 End Fraction
−2
negative 2
To find the quotient when you divide -3/4 by 3/8, you can multiply the dividend by the reciprocal of the divisor:
(-3/4) ÷ (3/8) = -3/4 * 8/3
Next, multiply the numerators and denominators separately:
(-3 * 8) / (4 * 3) = -24/12
To simplify this fraction, find the greatest common divisor of 24 and 12, which is 12.
Dividing both the numerator and the denominator by 12, we get:
-24/12 = -2
Therefore, the quotient is -2.
(-3/4) ÷ (3/8) = -3/4 * 8/3
Next, multiply the numerators and denominators separately:
(-3 * 8) / (4 * 3) = -24/12
To simplify this fraction, find the greatest common divisor of 24 and 12, which is 12.
Dividing both the numerator and the denominator by 12, we get:
-24/12 = -2
Therefore, the quotient is -2.