Question

1.... -27/20*(-5/9)-5/24*(-22/5) = 2... -36/60*(-5/18)-(-21/56)*(-1/3) 3... 15*(1+1/3-1/5) 4... 72*(19/24-7/12+3/8) 5... 72/73*34/65+72/73*39/65

Answer 1

Ответ:

Пошаговое объяснение:

-27/20 * (-5/9) - 5/24 * (-22/5) = 3/4 + 11/12 = 1 2/3

-36/60 * (-5/18) - (-21/56) * (-1/3) = 1/6 - 1/8 = 1/24

15 * (1 + 1/3 - 1/5) = 15 * 1 2/15 = 17

72 * (19/24 - 7/12 +3/8) = 72 *  7/12 = 42

72/73 * 34/65 + 72/73 * 39/65 = 72/73 * (34/65 + 39/65)   =   72/73 * 73/65   =  72/65 =  1 7/65

Answer 2

Let's solve each of the expressions step by step:

1. -27/20 * (-5/9) - 5/24 * (-22/5) First, perform the multiplication: -27/20 * (-5/9) = 27/36 -5/24 * (-22/5) = 11/24 Now, subtract the results: 27/36 - 11/24 = (272 - 113) / (36*2) = (54 - 33) / 72 = 21/72 = 7/24

   Answer: 7/24

2. -36/60 * (-5/18) - (-21/56) * (-1/3) First, simplify the fractions: -36/60 * (-5/18) = 1/6 -(-21/56) * (-1/3) = -7/56 Now, subtract the results: 1/6 - (-7/56) = 1/6 + 7/56 = (28 + 7) / 168 = 35/168 = 5/24

   Answer: 5/24

3. 15 * (1 + 1/3 - 1/5) First, perform the operations inside the parentheses: 1 + 1/3 - 1/5 = (15 + 5 - 3) / 15 = 17/15 Now, multiply by 15: 15 * (17/15) = 17

   Answer: 17

4. 72 * (19/24 - 7/12 + 3/8) First, find a common denominator for the fractions: 19/24 - 7/12 + 3/8 = 19/24 - 14/24 + 9/24 Now, combine the fractions: 19/24 - 14/24 + 9/24 = 14/24 = 7/12 Finally, multiply by 72: 72 * (7/12) = 7 * 6 = 42

   Answer: 42

5. 72/73 * 34/65 + 72/73 * 39/65 Factor out 72/73 from both terms: 72/73 * (34/65 + 39/65) Add the fractions inside the parentheses: 34/65 + 39/65 = 73/65 Now, multiply by 72/73: 72/73 * (73/65) = 1/1 = 1

   Answer: 1

So, the results are:

1. 7/24
2. 5/24
3. 17
4. 42
5. 1