Use properties of operation and rules for multiplying and dividing to solve 8/9×-3/4÷1/9×-4/5÷3/5
To solve the expression 8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5, we need to follow the correct order of operations, which is parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).
Let's simplify the expression step by step:
First, we will take care of the multiplication and division from left to right:
8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5
= (8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5)
Now let's multiply and divide:
= -2/3 ÷ 1/1 × -4/5 ÷ 3/5
= -2/3 × -4/5 × 5/3
Next, let's perform the multiplication:
= (-2 × -4 × 5) / (3 × 5 × 3)
Simplifying further:
= (40) / (45)
= 8/9
Therefore, the value of the expression 8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5 is 8/9.
To solve the expression 8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5, let's break it down step by step:
Step 1: Start by simplifying the multiplication and division operations in the expression.
8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5 becomes:
(8/9) × (-3/4) ÷ (1/9) × (-4/5) ÷ (3/5)
Step 2: Multiply the numerators and denominators separately.
Numerator: 8 × -3 × 1 × -4 = -96
Denominator: 9 × 4 × 1 × 5 × 3 = 540
Step 3: Simplify the fraction.
The fraction becomes -96/540.
Step 4: Reduce the fraction to its simplest form by finding the greatest common divisor (GCD) of the numerator and denominator.
GCD of 96 and 540 is 12. Divide the numerator and denominator by 12.
-96/540 simplifies to -8/45.
Therefore, 8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5 is equal to -8/45.
To solve the expression 8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5, we can follow the rules for multiplying and dividing fractions:
Step 1: Start with the expression and perform the multiplication and division from left to right, one operation at a time.
8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5
Step 2: Perform the multiplication in the numerator and denominator separately.
(8 × -3) / (9 × 4) ÷ (1 × -4) / (9 × 5) ÷ 3/5
Step 3: Simplify the numerator and denominator.
-24 / 36 ÷ -4 / 45 ÷ 3/5
Step 4: We can simplify the expression by multiplying the numerator with the reciprocal of the denominator for all division operations. This is the same as multiplying by the inverse value.
-24 / 36 × 45 / -4 × 5/3
Step 5: Multiply the numerator and denominator separately.
(-24 × 45 × 5) / (36 × -4 × 3)
Step 6: Simplify the numerator and denominator.
-5400 / -432
Step 7: Divide the numerator by the denominator.
= 5400 / 432
Step 8: The simplified fraction is 25/2.
So, 8/9 × -3/4 ÷ 1/9 × -4/5 ÷ 3/5 equals 25/2.