Question

6 6/11 : (1:2/3) - 4 2/3​

Answer 1

Ответ:

6 6/11 : (1 : 2/3) - 4 2/3 = 6 6/11 : 3/2 - 4 2/3 = 72/11 * 2/3 - 4 2/3 = 144/33 - 14/3 = 144/33 - 154/33 = -10/33

Answer 2

To simplify the expression 6 6/11 : (1:2/3) - 4 2/3, we can follow these steps:

Step 1: Convert the mixed numbers to improper fractions.

• 6 6/11 = 6 + 6/11 = (6 * 11/11) + 6/11 = 66/11
• 4 2/3 = 4 + 2/3 = (4 * 3/3) + 2/3 = 14/3

Step 2: Calculate the division (6 6/11 : (1:2/3)):

• 66/11 ÷ (1:2/3) = 66/11 ÷ (3/2)
• To divide fractions, multiply by the reciprocal of the divisor:
• 66/11 * (2/3) = (66 * 2)/(11 * 3) = 132/33

Step 3: Simplify the result (132/33):

• The greatest common divisor (GCD) of 132 and 33 is 33.
• Divide both the numerator and denominator by 33:
• (132/33) ÷ (33/33) = (132/33) ÷ 1 = 132/33 = 4

Step 4: Subtract 4 from the result:

• 4 - 14/3

Step 5: To subtract fractions, we need a common denominator. The common denominator is 3.

• Convert 4 to a fraction with a denominator of 3:
• 4 = 4 * 3/3 = 12/3

Now, we can subtract the fractions:

• (12/3) - (14/3) = (12 - 14)/3 = (-2)/3

So, the simplified result of the expression 6 6/11 : (1:2/3) - 4 2/3 is -2/3.