Question

А) (5/12+3/8)*12/24= Б)6/7*(11/18-5/12)=

Answer 1

Пошаговое объяснение:

1)19/48

2)1/6 это правильный ответ

Answer 2

A) To solve the expression (5/12 + 3/8) * 12/24, we follow the order of operations (PEMDAS/BODMAS) and simplify step by step:

Step 1: Add the fractions (5/12 + 3/8): To add fractions, we need a common denominator. In this case, the least common denominator (LCD) is 24.

(5/12 + 3/8) = (10/24 + 9/24) = (10 + 9)/24 = 19/24

Step 2: Multiply the result by 12/24: (19/24) * (12/24) = (19 * 12) / (24 * 24) = 228/576

Step 3: Simplify the fraction: Both the numerator and denominator are divisible by 4: (228/576) = (57/144)

Therefore, (5/12 + 3/8) * 12/24 simplifies to 57/144.

B) To solve the expression 6/7 * (11/18 - 5/12), we again follow the order of operations and simplify step by step:

Step 1: Subtract the fractions (11/18 - 5/12): To subtract fractions, we need a common denominator. In this case, the least common denominator (LCD) is 36.

(11/18 - 5/12) = (22/36 - 15/36) = (22 - 15)/36 = 7/36

Step 2: Multiply the result by 6/7: (7/36) * (6/7) = (7 * 6) / (36 * 7) = 42/252

Step 3: Simplify the fraction: Both the numerator and denominator are divisible by 6: (42/252) = (7/42)

Therefore, 6/7 * (11/18 - 5/12) simplifies to 7/42.