(−3)÷(3/4)×(2/7)×(−5/16)÷(5/7)
To simplify the expression, we can multiply the numerators and denominators together:
(-3) * (2) * (-5) / (3/4) * (2/7) * (5/16) * (7/5)
Next, we can simplify the numerator and denominator separately:
(-3) * (2) * (-5) = -30
(3/4) * (2/7) * (5/16) * (7/5) = (3 * 2 * 5 * 7) / (4 * 7 * 16 * 5)
Now, we can simplify the expression further:
-30 / (3 * 2 * 5 * 7) / (4 * 7 * 16 * 5)
The denominator cancels out since it appears in both the numerator and denominator:
-30 / (3 * 2 * 5 * 7) / (4 * 16 * 5)
Now, we can simplify the expression:
-30 / (3 * 2 * 7) / (4 * 16)
This further simplifies to:
-30 / (42) / (64)
Lastly, we can divide the numbers:
-30 / 42 / 64 = -30 / 2688
Therefore, the simplified expression is -30/2688.
(8/9)×(−3/4)÷(1/9)×(−4/5)÷(3/5)
To simplify the expression, we can multiply the numerators and denominators together:
(8/9) * (-3/4) / (1/9) * (-4/5) / (3/5)
Next, we can simplify the numerator and denominator separately:
(8 * -3 * -4) / (9 * 4) * (1 * -4 * -3) / (9 * 5) * (5 * -3) / 5
Now, we can simplify the expression:
(96) / (36) * (12) / (45) * (-15) / 5
Next, we can simplify the numerator and denominator separately:
(96 * 12 * -15) / (36 * 45 * 5)
Now, we can simplify the expression:
(-207360) / (8100)
Lastly, we can divide the numbers:
-207360 / 8100 = -256
Therefore, the simplified expression is -256.
(−3/5)×(5/16)×(7/12)÷(−3/16)×(−5/7)
To simplify the expression, we can cancel out common factors in the numerators and denominators:
(-3/5) * (5/16) * (7/12) / (-3/16) * (-5/7)
The numerator can be simplified as follows:
(-3 * 5 * 7) / (5 * 16 * 12) * (3 * 16 * 5)
The denominator can be simplified as follows:
(-3 * 16 * -5) / (7 * 3)
Now we can simplify the numerator and denominator:
(-105) / (5760) * (240)
Next, we can simplify the expression:
-105 / (5760) * 240
Now, we can further simplify the expression:
-105 / (12) = -8.75
Therefore, the simplified expression is -8.75.
How many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese?
To find out how many ounces are in 1/2 of 1/5 of a 10-ounce block of cheese, we can perform the following calculation:
(1/2) * (1/5) * (10)
First, we can simplify 1/2 times 1/5:
(1/2) * (1/5) = 1/10
Next, we can multiply the result by 10:
(1/10) * 10 = 1
Therefore, 1/2 of 1/5 of a 10-ounce block of cheese is 1 ounce.
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 can divide the total prize by the number of people.
Total prize won = 1/5 * $4,500
Total prize won = $4,500 / 5
Total prize won = $900
To find out how much each person won, we divide the total prize by the number of people:
Each person's winnings = $900 / 9
Each person's winnings = $100
Therefore, each person in the group won $100.
To simplify this expression, start by following the order of operations - parentheses, exponents, multiplication, division, addition, and subtraction - also known as PEMDAS.
Step 1: Simplify within parentheses
There are no parentheses in this expression.
Step 2: Simplify multiplication and division from left to right
(−3) ÷ (3/4) = −3 × (4/3) = −12/3 = −4
−4 × (2/7) = −8/7
(−8/7) × (−5/16) = 40/112 = 5/14
Finally, (5/14) ÷ (5/7) = (5/14) × (7/5) = 35/70 = 1/2
Therefore, the result of the expression (−3) ÷ (3/4) × (2/7) × (−5/16) ÷ (5/7) is 1/2.