Question

(11,1÷3-2 1/6)÷1 2/21

Answer 1

11,1:3=3.7 3.7- 2 1/6=46/30 46/30:1 2/21=46/30:21/23 Ответ:7/5

Answer 2

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

Step 1: Simplify the expression inside the parentheses. 11 - 1/3 - 2 1/6

To combine the whole numbers and fractions, we find a common denominator. The common denominator for 3 and 6 is 6.

11 = 66/6 1/3 = 2/6 (multiplied the numerator and denominator by 2 to get a common denominator of 6) 2 1/6 = 12/6 + 1/6 = 13/6

Now, we can subtract the fractions:

66/6 - 2/6 - 13/6 = (66 - 2 - 13)/6 = 51/6

Step 2: Perform the division: (51/6) ÷ (1 2/21)

To convert the mixed number 1 2/21 to an improper fraction, we find a common denominator, which is 21:

1 = 21/21 2/21 = 2/21

Now, we can add the fractions:

1 2/21 = 21/21 + 2/21 = 23/21

Now, we can divide:

(51/6) ÷ (23/21)

To divide fractions, we multiply by the reciprocal of the divisor:

(51/6) * (21/23)

Now, we can multiply:

(51 * 21) / (6 * 23) = 1071 / 138

The final result is 1071/138. This fraction cannot be simplified further.