Solve : `0.25+(1.95)/(x)=0.9`

Answer

To solve the equation \(0.25 + \frac{1.95}{x} = 0.9\), we will follow these steps:

### Step 1: Isolate the fraction
First, we want to isolate the term with \(x\) on one side. We can do this by subtracting \(0.25\) from both sides of the equation.

\[ \frac{1.95}{x} = 0.9 - 0.25 \]

### Step 2: Simplify the right side
Now, we simplify the right side:

\[ 0.9 - 0.25 = 0.65 \]

So, we have:

\[ \frac{1.95}{x} = 0.65 \]

### Step 3: Cross-multiply
Next, we can cross-multiply to eliminate the fraction:

\[ 1.95 = 0.65x \]

### Step 4: Solve for \(x\)
Now, we need to solve for \(x\). We do this by dividing both sides by \(0.65\):

\[ x = \frac{1.95}{0.65} \]

### Step 5: Calculate the value
Now we perform the division:

\[ x = 3 \]

### Final Answer
Thus, the solution to the equation is:

\[ \boxed{3} \]

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