Question

(8 7/12 - 2 17/36) • 2,7 - 4 1/3 : 0,65​

Answer 1

Ответ:

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Answer 2

To simplify the expression (8 7/12 - 2 17/36) * (2.7 - 4 1/3) / 0.65, follow these steps:

Step 1: Convert mixed numbers to improper fractions.

• 8 7/12 is equivalent to (8 * 12 + 7)/12 = 97/12.
• 2 17/36 is equivalent to (2 * 36 + 17)/36 = 89/36.
• 2.7 remains as it is.
• 4 1/3 is equivalent to (4 * 3 + 1)/3 = 13/3.

Step 2: Perform the arithmetic operations inside the parentheses: (97/12 - 89/36) * (2.7 - 13/3) / 0.65

Step 3: Simplify each operation:

• (97/12 - 89/36):

  • Find a common denominator, which is 36.
  • Convert 97/12 to an equivalent fraction with a denominator of 36: (97/12) * (3/3) = 291/36.
  • Subtract 89/36 from 291/36: (291/36 - 89/36) = 202/36.

• (2.7 - 13/3):

  • Find a common denominator, which is 3.
  • Convert 2.7 to an equivalent fraction with a denominator of 3: (2.7) * (3/3) = 8.1/3.
  • Subtract 13/3 from 8.1/3: (8.1/3 - 13/3) = -4.9/3.

Step 4: Simplify further: (202/36) * (-4.9/3) / 0.65

Step 5: Simplify the fraction (202/36):

• Divide both the numerator and denominator by their greatest common divisor, which is 2: (202/2) / (36/2) = 101/18.

Now, the expression becomes: (101/18) * (-4.9/3) / 0.65

Step 6: Perform the remaining operations:

• (101/18) * (-4.9/3) = -497.95/54.

• Finally, divide by 0.65: (-497.95/54) / 0.65 = (-497.95/54) * (1/0.65) = -497.95/35.75.

This is the simplified result of the expression: -497.95/35.75.