If `(196)/(0.196) = (19.6)/(x)` then what will be the value of `x` ?

Options

A. `1.96`
B. `10.96`
C. `0.0196`
D. ` 0.196`

Answer

To solve the equation \(\frac{196}{0.196} = \frac{19.6}{x}\), we can follow these steps:

### Step 1: Cross-Multiply
We start by cross-multiplying the fractions to eliminate the denominators. This gives us:

\[ 196 \cdot x = 19.6 \cdot 0.196 \]

### Step 2: Calculate \(19.6 \cdot 0.196\)
Next, we calculate the right side of the equation:

\[ 19.6 \cdot 0.196 = 3.8416 \]

### Step 3: Substitute Back into the Equation
Now we substitute this value back into the equation:

\[ 196x = 3.8416 \]

### Step 4: Solve for \(x\)
To find \(x\), we divide both sides by 196:

\[ x = \frac{3.8416}{196} \]

### Step 5: Perform the Division
Now we perform the division:

\[ x = 0.0196 \]

So, the value of \(x\) is \(0.0196\).

### Final Answer
Thus, the value of \(x\) is \(0.0196\).

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