Question

(1 1/5+2 3/10)÷1/2+(6 3/4-2 2/3)÷1 1/6

Answer 1

Ответ:

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$(1 \frac{1}{5} + 2 \frac{3}{10}) \div \frac{1}{2} + (6 \frac{3}{4} - 2 \frac{2}{3}) \div 1 \frac{1}{6} = \\ = ( \frac{6}{5} + \frac{23}{10}) \times 2 + ( \frac{27}{4} - \frac{8}{3}) \times \frac{6}{7} = \\ = \frac{35}{10} \times 2 + \frac{49}{12} \times \frac{6}{7} = 7 + \frac{7}{2} = \\ = \frac{14 + 7}{2} = \frac{21}{2}$= 10,5

Answer 2

(6/5 + 23/10) * 2 + (27/4 - 8/3) / 7/6 =

35/10 * 2 + (81/12 - 32/12) / 7/6 =

35/5 + 49/12 * 6/7 = 7 + 7/2 = 10,5. Либо 10 1/2

Answer 3

To solve the given expression, let's break it down step by step.

Step 1: Evaluate the addition and subtraction within parentheses.

• (1 1/5 + 2 3/10) = (6/5 + 23/10) = (12/10 + 23/10) = 35/10 = 3 5/10 = 3 1/2
• (6 3/4 - 2 2/3) = (27/4 - 8/3)

To subtract fractions with different denominators, we need to find a common denominator. In this case, the common denominator is 12.

Converting 27/4 to twelfths: (27/4) * (3/3) = 81/12 Converting 8/3 to twelfths: (8/3) * (4/4) = 32/12

So, (6 3/4 - 2 2/3) = 81/12 - 32/12 = 49/12 = 4 1/12

Therefore, the expression becomes: (1 1/5 + 2 3/10) ÷ 1/2 + (6 3/4 - 2 2/3) ÷ 1 1/6

= (3 1/2) ÷ 1/2 + (4 1/12) ÷ 1 1/6

Step 2: Evaluate the division operations.

(3 1/2) ÷ 1/2 = (7/2) ÷ (1/2)

When we divide by a fraction, we multiply by its reciprocal. So, (7/2) ÷ (1/2) = (7/2) * (2/1) = 7

(4 1/12) ÷ 1 1/6 = (49/12) ÷ (7/6)

To divide fractions, we multiply by the reciprocal. So, (49/12) ÷ (7/6) = (49/12) * (6/7) = 49/14 = 3 1/2

Step 3: Evaluate the remaining addition operation.

7 + 3 1/2 = 7 + 7/2 = 14/2 + 7/2 = 21/2 = 10 1/2

Therefore, the final result of the expression is 10 1/2.