Question

4/3÷(5/6+0,25)-3,6×(7/12+1/9)

Answer 1

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Answer 2

To solve the expression 4/3 ÷ (5/6 + 0.25) - 3.6 × (7/12 + 1/9), let's break it down step by step:

Step 1: Simplify the addition within parentheses: 5/6 + 0.25 = 5/6 + 0.25(6/6) = 5/6 + 1.5/6 = 6.5/6

Step 2: Simplify the multiplication within parentheses: 7/12 + 1/9 = (7/12)(3/3) + (1/9)(4/4) = 21/36 + 4/36 = 25/36

Now the expression becomes: 4/3 ÷ (6.5/6) - 3.6 × (25/36)

Step 3: Simplify the division: 4/3 ÷ (6.5/6) = (4/3)(6/6.5) = 24/19.5

Now the expression becomes: 24/19.5 - 3.6 × (25/36)

Step 4: Simplify the multiplication: 3.6 × (25/36) = (3.6/1)(25/36) = 90/36 = 5/2.4

Now the expression becomes: 24/19.5 - 5/2.4

Step 5: Convert the denominators to the same value: 24/19.5 = (24/19.5)(2.4/2.4) = 57.6/46.8

Now the expression becomes: 57.6/46.8 - 5/2.4

Step 6: Subtract the fractions: 57.6/46.8 - 5/2.4 = (57.6/46.8)(2.4/2.4) - (5/2.4)(46.8/46.8) = 138.24/112.32 - 234/112.32 = (138.24 - 234)/112.32 = -95.76/112.32

The simplified form of the expression 4/3 ÷ (5/6 + 0.25) - 3.6 × (7/12 + 1/9) is -95.76/112.32.