Question

1)(1-5/12)*(1 1/2+7/10):1 2/5 2)решите уравнение:3 1/3*x-4/5=9 1/5

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

1. To solve the expression (1-5/12)*(1 1/2+7/10):1 2/5, let's break it down step by step:

First, let's simplify the fractions: 1 - 5/12 = 12/12 - 5/12 = 7/12 1 1/2 = 2/2 + 1/2 = 3/2

Now, let's add 7/10 to 3/2: 3/2 + 7/10 = (3/2)*(5/5) + 7/10 = 15/10 + 7/10 = 22/10 = 11/5

Next, let's divide the expression by 1 2/5: (7/12)(11/5)/(7/5) = (7/12)(11/5)(5/7) = (711)/(12*5) = 77/60

Therefore, (1-5/12)*(1 1/2+7/10):1 2/5 = 77/60.

2. To solve the equation 3 1/3*x - 4/5 = 9 1/5, let's isolate the variable x:

First, let's simplify the mixed numbers: 3 1/3 = 10/3 9 1/5 = 46/5

Now, rewrite the equation with fractions: (10/3)x - 4/5 = 46/5

To eliminate the fractions, we can multiply both sides of the equation by the least common denominator (LCD), which in this case is 15:

15 * [(10/3)x - 4/5] = 15 * (46/5)

Simplifying the equation further:

(15/1) * (10/3)x - (15/1) * (4/5) = (15/1) * (46/5) 50x - 12 = 138

Now, let's solve for x:

50x = 138 + 12 50x = 150 x = 150/50 x = 3

Therefore, the solution to the equation 3 1/3*x - 4/5 = 9 1/5 is x = 3.