Use the properties of operations and rules for multiplying and dividing to solve:
(−3)÷(3/4)×(2/7)×(−5/16)÷(5/7)
To solve this problem, we need to simplify the expression step by step using the properties of operations and rules for multiplying and dividing.
First, let's multiply the numerators together: (-3) * (2) * (-5) = 30.
Now, let's multiply the denominators together: (3/4) * (7/16) * (5/7) = 105/64.
Next, we divide the numerator by the denominator: 30 / (105/64).
To divide fractions, we flip the second fraction and multiply: 30 * (64/105).
Now, we multiply the numerators together: 30 * 64 = 1920.
And we multiply the denominators together: 105.
Finally, we divide the numerator by the denominator: 1920 / 105.
Using long division or a calculator, we find that 1920 divided by 105 is approximately 18.29.
So, (-3)÷(3/4)×(2/7)×(−5/16)÷(5/7) is approximately equal to 18.29.
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)
To solve the expression (8/9)×(-3/4)÷(1/9)×(-4/5)÷(3/5), we need to simplify it step by step using the properties of operations and rules for multiplying and dividing.
First, let's multiply the numerators together: 8 * (-3) * (-4) * (-4) = 384.
Now, let's multiply the denominators together: 9 * 4 * 1 * 5 * 5 = 900.
Next, we divide the numerator by the denominator: 384 / 900.
To simplify this division, we can find the greatest common divisor (GCD) of the numerator and denominator, which is 48, and divide both the numerator and the denominator by the GCD: (384/48)/(900/48) = 8/15.
So, (8/9)×(-3/4)÷(1/9)×(-4/5)÷(3/5) simplifies to 8/15.
Use the properties of operations and rules for multiplying and dividing to solve:
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
To solve the expression (-3/5)×(5/16)×(7/12)÷(-3/16)×(-5/7), we need to simplify it step by step using the properties of operations and rules for multiplying and dividing.
First, let's multiply the numerators together: (-3) * (5) * (7) * (-5) = 525.
Next, let's multiply the denominators together: 5 * 16 * 12 * 3 * 16 * 7 = 1,036,800.
Now, let's divide the numerator by the denominator: 525 / 1,036,800.
To simplify this division, we can reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 525 and 1,036,800 is 25. Dividing both 525 and 1,036,800 by 25, we get: (525/25) / (1,036,800/25) = 21 / 41,472.
So, (-3/5)×(5/16)×(7/12)÷(-3/16)×(-5/7) simplifies to 21/41,472.
Are you right
Apologies for the error in the previous response. Let's go through the calculation again:
(-3/5) * (5/16) * (7/12) ÷ (-3/16) * (-5/7)
Multiplying the numerators gives: (-3) * (5) * (7) * (-5) = 525
Multiplying the denominators gives: 5 * 16 * 12 * 3 * 16 * 7 = 903,840
Now, dividing the numerator by the denominator gives: 525 / 903,840.
To simplify this division, we can divide both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 525 and 903,840 is 105. Dividing both 525 and 903,840 by 105 gives: (525/105) / (903,840/105) = 5 / 8,608.
So, (-3/5) * (5/16) * (7/12) ÷ (-3/16) * (-5/7) simplifies to 5/8,608.
How many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese
To find the number of ounces in 1/2 of 1/5 of a 10-ounce block of cheese, we can multiply the fractions together.
First, let's multiply 1/2 and 1/5: (1/2) * (1/5) = 1/10.
Next, we multiply 1/10 by 10 ounces to find the final amount: (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
To find out how much money each person in the group won, we need to divide the total prize money by the number of people in the group.
The group won 1/5 of the $4,500 prize, which is (1/5) * $4,500 = $900.
Since there are 9 people in the group, we divide $900 by 9 to find out how much each person won: $900 / 9 = $100.
Therefore, each person in the group won $100.
The first one is not right or the second
Apologies for the incorrect response. Let's calculate it correctly this time.
A group of 9 people won 1/5 of a $4,500 prize.
To find out how much money each person won, we need to multiply the fraction 1/5 by the total prize money.
(1/5) * $4,500 = $900
So, the group won $900 in total.
To find out how much each person won, we divide the total prize money by the number of people in the group.
$900 / 9 = $100
Therefore, each person in the group won $100.
No the very first one
Apologies for the confusion. Let's recalculate the first response correctly:
To find the number of ounces in 1/2 of 1/5 of a 10-ounce block of cheese, we need to multiply the fractions together.
First, let's calculate 1/2 of 1/5:
(1/2) * (1/5) = 1/10
Next, we multiply 1/10 by the 10-ounce block of cheese to find the final amount:
(1/10) * 10 = 1 ounce
Therefore, there is 1 ounce in 1/2 of 1/5 of a 10-ounce block of cheese.
No the one after the main question
Apologies for the confusion. Let's calculate the solution to the expression again:
To find out how much money each person in the group won, we need to divide the total prize money by the number of people in the group.
The group won 1/5 of the $4,500 prize, which is (1/5) * $4,500 = $900.
There are 9 people in the group, so we divide $900 by 9 to find out how much each person won: $900 / 9 = $100.
Therefore, each person in the group won $100.