Use the properties of operations and rules for multiplying and dividing to solve:
(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
(1 point)
8/9 is the wrong answer.
To solve the expression (8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5), we can follow the order of operations (parentheses, exponents, multiplication and division from left to right, and finally addition and subtraction from left to right).
First, let's simplify the multiplication and division separately:
(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
(8/9) × (-3/4) = -24/36 (-8/12) (we can multiply the numerators together to get -24 and the denominators to get 36)
÷ (1/9) = -24/36 ÷ 1/9 (we can divide by multiplying by the reciprocal)
= -24/36 × 9/1 (flip the fraction and multiply)
= -216/36
Now, let's continue with the rest of the multiplication and division:
-216/36 × (-4/5) ÷ (3/5)
-216/36 × -4/5 = 864/180 (-216/45) (multiply the numerators and denominators separately)
÷ (3/5) = 864/180 ÷ 3/5
= 864/180 × 5/3 (flip the fraction and multiply)
= (864 × 5) / (180 × 3)
= 4320/540 (multiply the numerators and denominators separately)
= 8 (simplify the fraction)
Therefore, the final answer is 8.
Use the properties of operations and rules for multiplying and dividing to solve:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
(1 point)
To solve the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7), we can follow the order of operations (parentheses, exponents, multiplication and division from left to right, and finally addition and subtraction from left to right).
First, let's simplify the multiplication and division separately:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
(−3/5) × (5/16) = -15/80 (multiply the numerators and denominators separately)
× (7/12) = -15/80 × 7/12
= -105/960 (multiply the numerators and denominators separately)
÷ (−3/16) = -105/960 ÷ -3/16
= -105/960 × −16/3 (flip the fraction and multiply)
= 1680/2880 (multiply the numerators and denominators separately)
× (−5/7) = 1680/2880 × −5/7
= -8400/20160 (multiply the numerators and denominators separately)
Now, let's simplify the fraction:
-8400/20160
= -7/16 (divide both the numerator and denominator by their greatest common divisor, which is 840)
Therefore, the final answer is -7/16.
Wrong
Apologies for the incorrect response. Let's correct the solution:
To solve the expression (−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7), we can follow the order of operations:
First, let's simplify the multiplication:
(−3/5) × (5/16) × (7/12) = (−3 × 5 × 7) / (5 × 16 × 12) = -105 / 960
Next, let's simplify the division:
-105 / 960 ÷ (−3/16) × (−5/7) = (-105 / 960) ÷ (-3/16) × (-5/7)
To divide fractions, we multiply by the reciprocal of the divisor:
(-105 / 960) ÷ (-3/16) = (-105 / 960) × (16 / -3) = (-105 × 16) / (960 × -3)
Now, we can simplify the numerator and denominator:
(-105 × 16) = -1680
(960 × -3) = -2880
Thus, the expression becomes:
-1680 / -2880 × (-5/7)
To multiply fractions, we multiply numerators together and denominators together:
-1680 / -2880 × (-5/7) = (-1680 × -5) / (-2880 × 7)
Simplifying the numerator and denominator:
(-1680 × -5) = 8400
(-2880 × 7) = -20160
The expression simplifies to:
8400 / -20160
To simplify further, we can divide the numerator and denominator by their greatest common divisor, which is 840:
8400 / -20160 = 10 / -24
The fraction can be simplified:
10 / -24 = -5 / 12
Therefore, the final answer is -5/12.
How many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese? (1 point)
To find the number of ounces in 1/2 of 1/5 of a 10-ounce block of cheese, we can multiply the fractions:
1/2 * 1/5 * 10
To multiply fractions, we multiply the numerators together and multiply the denominators together:
1/2 * 1/5 * 10 = (1 * 1 * 10) / (2 * 5) = 10/10
Since the numerator and denominator are equal, the fraction simplifies to 1.
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 by the number of people in the group.
The group won 1/5 of a $4,500 prize. To find out how much that is, we can multiply the prize by 1/5:
1/5 * $4,500 = (1/5) * $4,500 = $4,500 / 5 = $900
So, the group won $900.
To find out how much money each person in the group won, we need to divide the total amount won by the number of people in the group (9):
$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)