Question

X+ 5/7 =(-3/8)×1 2/3​

Answer 1

Ответ: -1 19/56

Решение: на фотографии

Answer 2

To solve the equation x + 5/7 = (-3/8) × (1 2/3), let's simplify the right side first.

First, convert the mixed number 1 2/3 into an improper fraction: 1 2/3 = (3 × 1 + 2)/3 = 5/3

Next, multiply -3/8 by 5/3: (-3/8) × (5/3) = (-3 × 5) / (8 × 3) = -15/24

Now we can rewrite the equation as: x + 5/7 = -15/24

To solve for x, we need to isolate it on one side of the equation. Let's subtract 5/7 from both sides:

x + 5/7 - 5/7 = -15/24 - 5/7

On the left side, the 5/7 and -5/7 cancel each other out, leaving just x. On the right side, we need to find a common denominator for -15/24 and -5/7, which is 168.

Multiplying -15/24 by 7/7 and -5/7 by 24/24:

x = (-15/24) * (7/7) - (5/7) * (24/24) = -105/168 + (-120/168) = (-105 - 120)/168 = -225/168

The fraction -225/168 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 9:

x = (-225/9) / (168/9) = -25/14

Therefore, the solution to the equation x + 5/7 = (-3/8) × (1 2/3) is x = -25/14.