Question

941. Вычислите: 80/81 : 40/63 * 27/28 : 3/20 ;24/37 : 27/74 : 32/45 * 14/15 Всё понятно расписать,заранее спасибо!​

Answer 1

80/81 : 40/63 * 27/28: 3/20=80/81×63/40×27/28×20/3=2/9×7×9/7×5=2×5=10

это правильно

Answer 2

To solve the expression 80/81 : 40/63 * 27/28 : 3/20 ; 24/37 : 27/74 : 32/45 * 14/15, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

Let's break down the expression step by step:

Step 1: Simplify the division operations from left to right. 80/81 : 40/63 * 27/28 : 3/20 ; 24/37 : 27/74 : 32/45 * 14/15

80/81 ÷ 40/63 = (80 * 63) / (81 * 40) = 5040 / 3240 = 35/27

Step 2: Simplify the multiplication operations from left to right. 35/27 * 27/28 : 3/20 ; 24/37 : 27/74 : 32/45 * 14/15

35/27 * 27/28 = (35 * 27) / (27 * 28) = 945 / 756 = 35/28

Step 3: Simplify the division operations from left to right. 35/28 : 3/20 ; 24/37 : 27/74 : 32/45 * 14/15

35/28 ÷ 3/20 = (35 * 20) / (28 * 3) = 700 / 84 = 25/3

Step 4: Simplify the division operations from left to right. 25/3 ; 24/37 : 27/74 : 32/45 * 14/15

25/3 ÷ 24/37 = (25 * 37) / (3 * 24) = 925 / 72 = 37/2.6667 (rounded to 4 decimal places)

Step 5: Simplify the division operations from left to right. 37/2.6667 : 27/74 : 32/45 * 14/15

37/2.6667 ÷ 27/74 = (37 * 74) / (2.6667 * 27) = 2738 / 72.0001 = 38.0278 (rounded to 4 decimal places)

Step 6: Simplify the multiplication operations from left to right. 38.0278 : 32/45 * 14/15

32/45 * 14/15 = (32 * 14) / (45 * 15) = 448 / 675 = 224/337.5 (rounded to 4 decimal places)

Step 7: Simplify the division operation. 38.0278 : 224/337.5

38.0278 ÷ 224/337.5 = 38.0278 * 337.5 / 224 = 12832.625 / 224 = 57.2864 (rounded to 4 decimal places)

Therefore, the value of the expression 80/81 : 40/63 * 27/28 : 3/20 ; 24/37 : 27/74 : 32/45 * 14/15 is approximately 57.2864.

Please note that the answer has been rounded to 4 decimal places for simplicity.