(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
To simplify the given expression, we can first cancel out any common factors in the numerator and denominator.
Starting with the numerator, we have:
(-3/5) * (5/16) * (7/12) = (-3 * 5 * 7) / (5 * 16 * 12) = (-105) / 960
Next, let's simplify the denominator:
(-3/16) * (-5/7) = (3 * -5) / (16 * 7) = (-15) / 112
Now, we can divide the simplified numerator by the simplified denominator:
(-105) / 960 ÷ (-15) / 112
When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction:
(-105/960) * (112/-15)
Multiplying the numerators and denominators, we get:
(-105 * 112) / (960 * -15) = (-11760) / (-14400)
Finally, we can simplify the resulting fraction by dividing both the numerator and denominator by their greatest common divisor, which is 240:
(-11760 / 240) / (-14400 / 240)
Simplifying further, we have:
-49/60 * -60/60 = 49/60
Therefore, the simplified expression is 49/60.
How many ounces are in 12 of 15 of a 10-ounce block of cheese?(1 point)
To find out how many ounces are in 12 of 15 of a 10-ounce block of cheese, we can set up a proportion.
Let x be the number of ounces we want to find.
(12/15) = x/10
To solve this proportion, we can cross multiply:
15x = 120
Divide both sides by 15:
x = 8
Therefore, there are 8 ounces in 12 of 15 of a 10-ounce block of cheese.
How many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese?(1 point)
To find out how many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese, we can proceed as follows:
First, we multiply the fractions: (1/2) * (1/5) = 1/10.
Next, we find 1/10 of a 10-ounce block of cheese:
(1/10) * 10 = 1 ounce.
Therefore, there are 1 ounce in 1/2 of 1/5 of a 10-ounce block of cheese.
A group of 9 people won 1/5 of a $4,500 prize. How much money did each person in the group win?(1 point)
$
To find out how much money each person in the group won, we need to divide the total prize (1/5 of $4,500) by the number of people in the group (9).
First, we calculate 1/5 of $4,500:
(1/5) * $4,500 = $900.
Next, we divide $900 by the number of people in the group:
$900 / 9 = $100.
Therefore, each person in the group won $100.
Use the properties of operations and rules for multiplying and dividing to solve:
(−2)×(1/5)÷(2/3)×(−5/6)÷(3/4)
(1 point)
Responses
2/3
Start Fraction 2 over 3 End Fraction
−1/6
negative Start Fraction 1 over 6 End Fraction
−2/3
negative Start Fraction 2 over 3 End Fraction
1/6
To solve the expression (−2)×(1/5)÷(2/3)×(−5/6)÷(3/4), we can simplify it step by step:
1. Multiply −2 by 1/5:
(-2) × (1/5) = -2/5
2. Divide -2/5 by 2/3:
(-2/5) ÷ (2/3) = (-2/5) * (3/2) = -6/10 = -3/5
3. Multiply -3/5 by -5/6:
(-3/5) * (-5/6) = (3/5) * (5/6) = 15/30 = 1/2
4. Divide 1/2 by 3/4:
(1/2) ÷ (3/4) = (1/2) * (4/3) = 4/6 = 2/3
Therefore, the simplified expression is 2/3.
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
(1 point)
Responses
8
8
−1,225/8
negative Start Fraction 1,225 over 8 End Fraction
1,225/8
Start Fraction 1,225 over 8 End Fraction
−8