Use the properties of operations and rules for multiplying and dividing to solve: (89)×(−3/4)÷(1/9)×(−4/5)÷(3/5) (1 point)
To solve this expression, we will follow the order of operations, which states that we should solve multiplication and division from left to right before solving addition and subtraction.
First, let's solve the multiplication and division operations:
(89) × (-3/4) = -267/4
Next, let's divide by (1/9):
(-267/4) ÷ (1/9) = -267/4 * 9/1 = -2403/4
Finally, let's continue with the remaining division operations:
(-2403/4) × (-4/5) = 2403/4 * 4/5 = 2403/5
Lastly, let's divide by (3/5):
(2403/5) ÷ (3/5) = 2403/5 * 5/3 = 2403/3 = 801
Therefore, (89)×(−3/4)÷(1/9)×(−4/5)÷(3/5) simplifies to 801.
To solve the expression (89)×(−3/4)÷(1/9)×(−4/5)÷(3/5), we can follow these steps:
Step 1: Multiply the given numbers from left to right:
(89) × (−3/4) = -267/4,
-267/4 ÷ (1/9) = -267/4 × 9/1 = -2403/4.
Step 2: Continuing from the result obtained in step 1, divide by (-4/5):
-2403/4 × (-4/5) = 2403/4 × 4/5 = 9636/20,
9636/20 ÷ (3/5) = 9636/20 × 5/3 = 1606/1 = 1606.
Therefore, the solution to the expression (89)×(−3/4)÷(1/9)×(−4/5)÷(3/5) is 1606.
To solve the expression (89)×(−3/4)÷(1/9)×(−4/5)÷(3/5), we need to follow the properties of operations and rules for multiplying and dividing.
First, let's simplify the multiplication and division one step at a time:
Step 1: Multiply 89 and -3/4.
To multiply a whole number and a fraction, we can convert the whole number to a fraction by putting it over 1. In this case, we have 89 = 89/1.
Multiply the numerators (89 × -3) to get -267.
Multiply the denominators (1 × 4) to get 4.
So, 89 × -3/4 = -267/4.
Step 2: Divide -267/4 by 1/9.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 1/9 is 9/1.
Multiply the numerators (-267 × 9) to get -2403.
Multiply the denominators (4 × 1) to get 4.
So, -267/4 ÷ 1/9 = -2403/4.
Step 3: Multiply -2403/4 by -4/5.
Multiply the numerators (-2403 × -4) to get 9612.
Multiply the denominators (4 × 5) to get 20.
So, -2403/4 × -4/5 = 9612/20.
Step 4: Divide 9612/20 by 3/5.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 3/5 is 5/3.
Multiply the numerators (9612 × 5) to get 48060.
Multiply the denominators (20 × 3) to get 60.
So, 9612/20 ÷ 3/5 = 48060/60.
Step 5: Simplify the fraction 48060/60.
We can divide both the numerator and denominator by their greatest common divisor (GCD) to simplify the fraction.
The GCD of 48060 and 60 is 60.
Divide the numerator (48060 ÷ 60) to get 801.
Divide the denominator (60 ÷ 60) to get 1.
So, 48060/60 = 801/1 = 801.
Therefore, the solution to the given expression is 801.