Question

3 3/7(4/9х-7/12)=5/42​

Answer 1

Пошаговое объяснение:

3. 3/7(4/9х - 7/12) = 5/42

4/9х - 7/12 = 5/42 : 3. 3/7

4/9х - 7/12 = 5/42 : 24/7

4/9х - 7/12 = 5/42 * 7/24

4/9х - 7/12 = 5/6 * 1/24

4/9х - 7/12 = 5/144

4/9х = 5/144 + 7/12

4/9х = 5/144 + 84/144

4/9х = 89/144

х = 89/144 : 4/9

х = 89/144 * 9/4

х = 801/576

х = 1. 225/576

х = 1. 25/64

Answer 2

To solve the equation 3 3/7(4/9x - 7/12) = 5/42, let's simplify the expression step by step:

First, convert the mixed number 3 3/7 to an improper fraction: 3 3/7 = (7 * 3 + 3) / 7 = 24/7

The equation becomes: (24/7)(4/9x - 7/12) = 5/42

Next, distribute the fraction (24/7) to both terms inside the parentheses: (24/7)(4/9x) - (24/7)(7/12) = 5/42

Simplify each term: (96/63)x - (168/84) = 5/42

Now, simplify the fractions: (32/21)x - 2 = 5/42

To isolate the variable x, we need to get rid of the constant term on the left side. Let's add 2 to both sides of the equation: (32/21)x - 2 + 2 = 5/42 + 2/1

Simplifying further: (32/21)x = 5/42 + 84/42 (32/21)x = 89/42

Now, we can solve for x by multiplying both sides of the equation by the reciprocal of (32/21), which is (21/32): (21/32)(32/21)x = (21/32)(89/42) x = 89/64

Therefore, the solution to the equation is x = 89/64.