Question

(x-3/8)*8/35+2 2/7=2 2/5

Answer 1

(х-3/8)*8/35+2 2/7=2 2/5
8/35х-3/35+2 2/7=2 2/5
8/35х=2 2/5+3/35-2 2/7
8/35х=2 14/35+3/35-2 10/35
8/35х=7/35
х=7/35:8/35
х=7/8

Answer 2

To solve the equation:

(x-3/8)*8/35 + 2 2/7 = 2 2/5

First, we simplify the mixed numbers to improper fractions:

2 2/7 = 16/7 2 2/5 = 12/5

Next, we can begin to solve for x by isolating the variable on one side of the equation. We'll start by subtracting 2 2/7 from both sides:

(x-3/8)*8/35 = 12/5 - 16/7

To simplify the right-hand side, we need to find a common denominator for 5 and 7. The smallest number that both 5 and 7 divide into evenly is 35. So we'll convert 12/5 and 16/7 to fractions with a denominator of 35:

12/5 = 84/35 16/7 = 80/35

Substituting these values into the equation, we get:

(x-3/8)*8/35 = 84/35 - 80/35

Simplifying the right-hand side:

(x-3/8)*8/35 = 4/35

Now we can simplify further by multiplying both sides by the reciprocal of 8/35:

x-3/8 = 4/35 * 35/8

Canceling out the 35's, we get:

x-3/8 = 1/2

To solve for x, we'll add 3/8 to both sides:

x = 1/2 + 3/8

Finding a common denominator:

x = 4/8 + 3/8

x = 7/8

Therefore, the solution to the equation is x = 7/8.