Question

18⋅ (-2⅙ +1¹∕₁₈ - 4½)​

Answer 1

Ответ:

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Answer 2

To simplify the expression 18 * (-2⅙ + 1¹∕₁₈ - 4½), follow these steps:

Step 1: Convert all the mixed numbers to improper fractions.

• -2⅙ = -12/6 - 1/6 = -13/6
• 4½ = 9/2

So the expression becomes 18 * (-13/6 + 1¹∕₁₈ - 9/2).

Step 2: Find a common denominator for the fractions in the expression. The common denominator for 6, 18, and 2 is 18.

• -13/6 = -39/18
• 1¹∕₁₈ = 18/18
• 9/2 = 9 * 9/18 = 81/18

Now the expression is 18 * (-39/18 + 18/18 - 81/18).

Step 3: Add and subtract the fractions.

• (-39/18 + 18/18 - 81/18) = (-39 + 18 - 81)/18 = (-102)/18

Step 4: Simplify the fraction:

• (-102)/18 = -51/9

Step 5: Further simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3.

• (-51/9) ÷ 3/3 = (-17/3)

So, 18 * (-2⅙ + 1¹∕₁₈ - 4½) simplifies to -17/3.