Question

-3,6 :(3 1/4 + 2/3 •(-1,5))-2 18/25​

Answer 1

-3,6 : (3 1/4 + 2/3 * (-1,5)) - 2 18/25​ = -4,32

1) 2/3 * (-1,5) = -1

2) 3,25 + (-1) = 2,25

3) -3,6 : 2,25 = -1,6

4) -1,6 - 2 18/25 = -1,6 - 2,72 = -4,32

Answer 2

To solve the expression, let's follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Step 1: Perform the operations inside the parentheses/brackets first. 3 1/4 + 2/3 • (-1.5)

To add fractions, we need a common denominator, which is 12 in this case. 3 1/4 = (4 * 3 + 1)/4 = 13/4 2/3 = (3 * 0 + 2)/3 = 2/3

Now, we have: 13/4 + 2/3 • (-1.5)

To multiply a fraction by a decimal number, convert the decimal to a fraction first: -1.5 = -1 5/10 = -1 1/2 = -(2 + 1)/2 = -3/2

Now, we have: 13/4 + 2/3 • (-3/2)

Step 2: Perform the multiplication: 2/3 • (-3/2) To multiply fractions, simply multiply the numerators together and the denominators together: 2/3 • (-3/2) = (2 * -3)/(3 * 2) = -6/6 = -1

Now, we have: 13/4 + (-1)

Step 3: Convert -1 to a fraction with the denominator 4 to have a common denominator with 13/4: -1 = -4/4

Now, we have: 13/4 + (-4/4)

Step 4: Add the fractions: 13/4 + (-4/4) = (13 - 4)/4 = 9/4

Step 5: Subtract 2 18/25 from the result: 9/4 - 2 18/25

To perform this subtraction, we need a common denominator, which is 100 in this case. 2 18/25 = (25 * 2 + 18)/25 = 68/25

Now, we have: 9/4 - 68/25

Step 6: Convert 9/4 to a fraction with the denominator 100 to have a common denominator with 68/25: 9/4 = (9 * 25)/(4 * 25) = 225/100

Now, we have: 225/100 - 68/25

Step 7: Subtract the fractions: 225/100 - 68/25 = (225 * 4 - 68 * 4)/(100 * 4) = (900 - 272)/100 = 628/100 = 6 28/100

Step 8: Simplify the fraction: 6 28/100 = 6 14/50 = 6 7/25

So, the final result is 6 7/25.