Question

(4,5-1/3)÷2/9-(3,5+1/3)×4 1/2

Answer 1

Ответ:

18.75

Пошаговое объяснение:

Answer 2

To simplify the expression (4,5-1/3)÷2/9-(3,5+1/3)×4 1/2, we'll follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). In this case, we have division, multiplication, and addition/subtraction, so we'll perform these operations step by step.

Step 1: Simplify within the parentheses/brackets: (4 5/3) ÷ 2/9 - (3 5/3 + 1/3) × 4 1/2

Step 2: Perform division: First, we'll deal with the division: (4 5/3) ÷ (2/9) = (4 5/3) × (9/2)

Step 3: Multiply fractions: To multiply fractions, multiply the numerators together and the denominators together: (4 5/3) × (9/2) = [(4 × 9) + (5/3 × 9)] / (3 × 2)

Step 4: Simplify the numerators: (36 + 15/3) / 6

Step 5: Simplify further: (36 + 5) / 6 = 41/6

Now, let's simplify the other part of the expression:

Step 6: Add the fractions: (3 5/3 + 1/3) = (3 + 5/3 + 1/3) = (9/3 + 5/3 + 1/3) = 15/3 = 5

Step 7: Multiply the result by 4 1/2: 5 × 4 1/2

To multiply a whole number by a mixed number, first convert the mixed number to an improper fraction:

4 1/2 = 9/2

Now, multiply 5 by 9/2:

(5 × 9/2) = (45/2)

Step 8: Subtract the two results: (41/6) - (45/2)

To subtract fractions, find a common denominator, which is 6 in this case:

[(41/6) - (45/2)] = [(41/6) - (135/6)]

Step 9: Subtract the numerators: (41 - 135) / 6 = (-94/6)

Step 10: Simplify further by dividing the numerator and denominator by their greatest common divisor (2): (-94/6) = -47/3

So, the simplified result of the expression is -47/3.