Question

(5,7 : 0,3- 8 1/3)×0,75 ------------------------------- (2 1/8 + 1,75) : 15,5

Answer 1

(5,7:0,3-8 1/3)*0.75
(19-8/3)*3/4
49/3*3/4
49*1/4
49/4
12 1/4 или 12,25 или (7/2)²



(2 1/8+1.75):15.5
(1/4+7/4):31/2
2*2/31
4/31 или ≈0,13

Answer 2

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

Step 1: Simplify the expression within the parentheses on the left side. (5,7 : 0,3 - 8 1/3) = (5.7 / 0.3 - 8 1/3)

Step 2: Perform the division within the parentheses. 5.7 / 0.3 = 19

Step 3: Convert the mixed number on the right side to an improper fraction. 8 1/3 = (8 * 3 + 1) / 3 = 25/3

Step 4: Subtract the fraction on the right side from the result of the division. 19 - 25/3

Step 5: Convert the whole number into a fraction. 19 = 19/1

Step 6: Find a common denominator for the fractions. The common denominator for 1 and 3 is 3.

Step 7: Rewrite the fractions with the common denominator. 19/1 - (25/3 * 3/3) = 19/1 - 75/3

Step 8: Subtract the fractions. 19/1 - 75/3 = (19 * 3 - 75) / 3 = (57 - 75) / 3 = -18/3 = -6

Step 9: Multiply the result by 0.75. -6 * 0.75 = -4.5

Step 10: Simplify the expression on the right side. (2 1/8 + 1.75) = (17/8 + 1.75)

Step 11: Convert the whole number to a fraction. 2 = 2/1

Step 12: Find a common denominator for the fractions. The common denominator for 8 and 1 is 8.

Step 13: Rewrite the fractions with the common denominator. (17/8 + 1.75) = (17/8 + (1.75 * 8/8))

Step 14: Add the fractions. (17/8 + 14/8) = (17 + 14) / 8 = 31/8

Step 15: Divide the result by 15.5. (31/8) / 15.5 = (31/8) * (1/15.5) = 31/1240

Step 16: Divide the result from Step 9 by the result from Step 15. -4.5 / (31/1240)

Step 17: Divide by a fraction by multiplying by its reciprocal. -4.5 * (1240/31) = -180

Therefore, the value of the given expression is -180.