Question

(10 - 2 2/3) : 4 8/9

Answer 1

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Answer 2

Ответ:

1. (9 9/9-2 2/3) :4 8/9=3/2=1 1/2

• 1) (9-2)+(9/9-2/3)=7 1/3

• 2) (7 1/3:4 8/9)=22/3:44/9=1/1*3/2=3/2=1 1/2

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Answer 3

To simplify the expression (10 - 2 2/3) ÷ (4 8/9), follow these steps:

Step 1: Convert the mixed numbers to improper fractions. 10 - 2 2/3 = 10 - (3 * 2 + 2) / 3 = 10 - (6 + 2) / 3 = 10 - 8/3

Step 2: Perform the subtraction inside the parentheses. 10 - 8/3

Step 3: Find a common denominator for 3 and 9, which is 9.

Step 4: Rewrite the fractions with the common denominator. 10 * 3/3 - (8/3) * 3/3 = 30/3 - 24/9

Step 5: Subtract the fractions. (30/3 - 24/9) = (10 - 8/3)

Step 6: Perform the division. (10 - 8/3) ÷ (4 8/9) = (10 - 8/3) ÷ (4 + 8/9)

Now, to divide, we'll find a common denominator for 3 and 9 again, which is 9.

Step 7: Rewrite the fractions with the common denominator. (10 * 3/3 - 8/3) ÷ (4 * 9/9 + 8/9) = (30/3 - 8/3) ÷ (36/9 + 8/9)

Step 8: Subtract the fractions inside the parentheses. (30/3 - 8/3) ÷ (36/9 + 8/9) = (22/3) ÷ (44/9)

Step 9: Invert the second fraction and multiply. (22/3) ÷ (44/9) = (22/3) * (9/44)

Step 10: Simplify the fractions. (22/3) * (9/44) = (22 * 9) / (3 * 44) = 198/132

Step 11: Simplify further by dividing both the numerator and denominator by their greatest common divisor, which is 66. (198/132) ÷ 66/66 = (3/2) ÷ 1 = 3/2

So, the simplified result of the expression (10 - 2 2/3) ÷ (4 8/9) is 3/2.