Question

7 1/3 - ( 4 2/15-х)=3 2/9решите уравнение ​

Answer 1

Ответ:

7 1/3-(4 2/15-x)=3 2/9

22/3-(62/15-x)=29/9

22/3-62/15+x=29/9

16/5+x=29/9

x=29/9-16/5

ответ: x=1/45.

Пошаговое объяснение:

подпишись пж.

Answer 2

To solve the equation, we'll simplify both sides of the equation step by step.

Given equation: 7 1/3 - (4 2/15 - х) = 3 2/9

Step 1: Convert mixed numbers to improper fractions. 7 1/3 becomes (3 * 7 + 1)/3 = 22/3 4 2/15 becomes (15 * 4 + 2)/15 = 62/15 3 2/9 becomes (9 * 3 + 2)/9 = 29/9

Now our equation becomes: 22/3 - (62/15 - х) = 29/9

Step 2: Simplify the expression within the parentheses. 62/15 - х can be written as -х + 62/15

Our equation now becomes: 22/3 - (-х + 62/15) = 29/9

Step 3: Distribute the negative sign to the terms inside the parentheses. 22/3 + х - 62/15 = 29/9

Step 4: Find a common denominator for the fractions. The least common multiple of 3, 15, and 9 is 45. Multiply each fraction by the appropriate factor to make the denominator 45.

22/3 * 15/15 = 330/45 62/15 * 3/3 = 186/45 29/9 * 5/5 = 145/45

Now our equation becomes: 330/45 + х - 186/45 = 145/45

Step 5: Combine like terms. (330 + х - 186)/45 = 145/45

Step 6: Multiply both sides of the equation by 45 to eliminate the denominator. 330 + х - 186 = 145

Step 7: Simplify and solve for х. х = 145 - 330 + 186 х = 1

Therefore, the solution to the equation is х = 1.