Question

3/7*(x+1 1/5)=1 1/7 решить уравнение

Answer 1

Відповідь:

Покрокове пояснення:

Answer 2

To solve the equation 3/7*(x + 1 1/5) = 1 1/7, we can follow these steps:

Step 1: Convert the mixed numbers into improper fractions. 1 1/5 can be converted to the improper fraction (6/5). 1 1/7 can be converted to the improper fraction (8/7).

The equation now becomes: 3/7 * (x + 6/5) = 8/7

Step 2: Distribute the fraction 3/7 to the terms inside the parentheses. 3/7 * x + 3/7 * 6/5 = 8/7

Step 3: Simplify the expression by multiplying the fractions. (3x/7) + (18/35) = 8/7

Step 4: Move the constant term to the other side of the equation by subtracting (18/35) from both sides. (3x/7) = (8/7) - (18/35)

Step 5: Find the common denominator and subtract the fractions on the right side. (3x/7) = (40/35) - (18/35) (3x/7) = (40 - 18)/35 (3x/7) = 22/35

Step 6: Cross-multiply and solve for x. 3x * 35 = 7 * 22 105x = 154 x = 154/105 x = 22/15

Therefore, the solution to the equation 3/7*(x + 1 1/5) = 1 1/7 is x = 22/15.