Question

6(7/12-2 1/2*2/19)-15(2/5*2/19-1 2/3)-28,5

Answer 1

Відповідь:

-2.21052631579

Answer 2

To simplify the expression, let's perform the calculations step by step:

Step 1: Simplify the fractions within parentheses: 7/12 - 2 1/2 * 2/19 To subtract mixed numbers, convert the mixed number to an improper fraction: 2 1/2 = 5/2 Now, multiply 5/2 by 2/19: (7/12) - (5/2 * 2/19) (7/12) - (10/38) (7/12) - (5/19)

Step 2: Perform the multiplications and subtractions within parentheses: 6 * ((7/12) - (5/19)) - 15 * ((2/5) * (2/19) - 1 2/3) - 28.5 6 * (7/12 - 5/19) - 15 * (4/95 - 5/3) - 28.5

Step 3: Continue simplifying fractions: 6 * [(7/12) * (19/19) - (5/19) * (12/12)] - 15 * (4/95 - 5/3) - 28.5 6 * [(133/228) - (60/228)] - 15 * (4/95 - 5/3) - 28.5 6 * (73/228) - 15 * (4/95 - 5/3) - 28.5

Step 4: Simplify the subtraction within parentheses: 15 * [(4/95) * (3/3) - (5/3) * (95/95)] 15 * (12/285 - 475/285) 15 * (-463/285) - 28.5

Step 5: Perform the multiplications and subtractions: 6 * (73/228) - 15 * (-463/285) - 28.5 (438/228) + (6930/285) - 28.5

Step 6: Convert mixed numbers to improper fractions: 28.5 = 28 + 1/2 = 56/2 + 1/2 = 57/2

Step 7: Add the fractions: (438/228) + (6930/285) - 57/2

Step 8: Find the least common denominator (LCD) for the fractions: The LCD for 228, 285, and 2 is 79860.

Step 9: Convert the fractions to have the same denominator: (438/228)(350/350) + (6930/285)(280/280) - (57/2)*(39843/39843) (189420/79860) + (1940400/79860) - (227571/79860)

Step 10: Combine the fractions: (189420 + 1940400 - 227571)/79860

Step 11: Perform the addition and subtraction: (2139249/79860)

The simplified expression is approximately 26.809.