Question

8/15+[(11/18-1/15):2/5-1/5]*8/25

Answer 1

Ответ на картинке внизу страницы

Answer 2

Решение на фото.......

Answer 3

To solve the expression, follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition, and Subtraction):

Step 1: Solve the expression inside the brackets: (11/18 - 1/15) / (2/5 - 1/5) = (11/18 - 1/15) / (1/5) = [(11/18 - 1/15) * 5] / 1 Now, find a common denominator for 18 and 15, which is 90: [(11/18) * (5/5) - (1/15) * (6/6)] * 5 = (55/90 - 6/90) * 5 Calculate the difference: (49/90) * 5 = 49/18

Step 2: Now, plug the result from Step 1 into the original expression: 8/15 + [(49/18) * 8/25]

Step 3: Find a common denominator for 15 and 25, which is 375: 8/15 * (25/25) + [(49/18) * (15/15) * 8/25]

Step 4: Perform the calculations: (200/375) + (49/18) * (120/375)

Step 5: Find a common denominator for the fractions in the second term, which is 18: (200/375) + (49/18) * (20/50)

Step 6: Calculate the second term: (200/375) + (49/18) * (2/5) = (200/375) + (98/90)

Step 7: Find a common denominator for the fractions in the first term, which is 375: (160/375) + (98/90)

Step 8: Calculate the first term: (160/375) + (49/45)

Step 9: Find a common denominator for the fractions: (160/375) + (49/45) * (25/25)

Step 10: Perform the calculations: (160/375) + (1225/1125)

Step 11: Find a common denominator for the fractions: (160/375) + (490/1125)

Step 12: Calculate the result: 160/375 + 490/1125 = (480 + 490) / 1125 = 970/1125

Step 13: Simplify the fraction (if possible): 970/1125 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5: 970 ÷ 5 = 194 1125 ÷ 5 = 225 So, the simplified fraction is 194/225.

Therefore, the final result of the expression is 194/225.