Question

|-2целых1/6|:|4целых1/3|; |5,7|×|-2целых2/19|; |-9целых3/7|×|7/11|+|-2,9|; |-6,2|:|0,2|-|-7,4|

Answer 1

I-2 1/6I:I4 1/3I = 2 1/6 : 4 1/3 = 13/6 : 13/3 = 13/6 * 3/13 = 1/2

I5,7I * I-2 2/19I = 5,7 * 2 2/19 = 57/10 * 40/19 = 12

I-9 3/7I * I7/11I + I-2,9I = 9 3/7 * 7/11 + 2,9 = 66/7 * 7/11 + 2,9 = 6 + 2,9 = 8,9

I-6,2I : I0,2I - I-7,4I = 6,2 : 0,2 - 7,4 = 31 - 7,4=23,6

Answer 2

Let's break down each part of the expression step by step:

1. |-2целых1/6|:|4целых1/3|

   First, let's simplify the absolute values: |-2целых1/6| = 2целых1/6 |4целых1/3| = 4целых1/3

   Now, divide the two values: 2целых1/6 ÷ 4целых1/3

   To divide fractions, you can invert the second fraction and then multiply: 2целых1/6 ÷ 4целых1/3 = 2целых1/6 × 3/4целых1

   Now, simplify the fractions: (2/1) × (1/6) × (3/4) × (1/1) = (2 × 1 × 3 × 1) / (1 × 6 × 4 × 1) = 6 / 24 = 1/4

2. |5,7|×|-2целых2/19|

   Simplify the absolute values: |5,7| = 5,7 |-2целых2/19| = 2целых2/19

   Now, multiply the two values: 5,7 × 2целых2/19

   Multiply the whole numbers and fractions separately: (5 × 2) + (7 × 2целых2/19)

   Now, let's multiply the fractions: (10) + (14целых4/19)

   We can't simplify this any further, so the result is: 10 + 14целых4/19

3. |-9целых3/7|×|7/11|+|-2,9|

   Simplify the absolute values: |-9целых3/7| = 9целых3/7 |7/11| = 7/11 |-2,9| = 2,9

   Now, multiply the first two values: (9целых3/7) × (7/11)

   Multiply the whole numbers and fractions separately: (9 × 7/11) + (3/7 × 7/11)

   Simplify the fractions: (63/11) + (3/77)

   Now, let's find a common denominator to add the fractions: To do this, find the least common multiple of 11 and 77, which is 77.

   Rewrite the fractions with a common denominator of 77: (63/11) + (3/77) × (7/7)

   Now, add the fractions: (63/11) + (21/77)

   To add fractions with the same denominator, add the numerators: (63 + 21)/77 = 84/77

   Simplify the fraction: 84/77 = 12/11

   So, the result of the expression is: 12/11 + 2,9

4. |-6,2|:|0,2|-|-7,4|

   Simplify the absolute values: |-6,2| = 6,2 |0,2| = 0,2 |-7,4| = 7,4

   Now, perform the division and subtraction: 6,2 ÷ 0,2 - 7,4

   First, divide: (6,2 / 0,2) - 7,4 = 31 - 7,4

   Now, subtract: 31 - 7,4 = 23,6

   So, the result is 23,6.

In summary:

1. |-2целых1/6|:|4целых1/3| = 1/4
2. |5,7|×|-2целых2/19| = 10 + 14целых4/19
3. |-9целых3/7|×|7/11|+|-2,9| = 12/11 + 2,9
4. |-6,2|:|0,2|-|-7,4| = 23,6