Question

(3/4+5/21*x):3/7=3 1/4Надо найти x/ - дробная черта

Answer 1

(3÷4+5÷21×х)÷3

дробная черта = 31/4

7

(0,75+5/21)×1/3

дробная черта =31/4

7

(3/4+5/21х) ×1/3

дробная черта= 31/4

7

63+20х

Дробная черта

252

дробная черта = 31/4

7

63+20х

дробная черта =31/4

1764

4(63+20х)=54684

63+20х=13671

20х=13671-63

20х=13608

х=3402/5 ответ.

Answer 2

To find the value of x in the equation:

(3/4 + 5/21 * x) / (3/7) = 3 1/4

We need to simplify the left-hand side of the equation first by following the order of operations (PEMDAS/BODMAS).

Step 1: Simplify the expression in the parentheses. (3/4 + 5/21 * x)

To add these fractions, we need a common denominator, which is 84. So, we rewrite the fractions with the common denominator:

(63/84 + 20/84 * x)

Step 2: Distribute the 5/21 across the parentheses:

(63/84 + 20/84 * x) = (63/84) + (20/84) * x

Step 3: Combine the fractions:

(63/84 + 20/84) * x = (83/84) * x

Now, the equation becomes:

(83/84) * x / (3/7) = 3 1/4

Step 4: Invert and multiply to solve for x:

x = (3 1/4) * (7/3) / (83/84)

First, convert 3 1/4 to an improper fraction:

3 1/4 = (4 * 3 + 1) / 4 = 13/4

Now, continue with the calculation:

x = (13/4) * (7/3) / (83/84)

To divide fractions, multiply by the reciprocal:

x = (13/4) * (7/3) * (84/83)

Step 5: Calculate the result:

x = 1911/83

So, the value of x is 1911/83.