if `(45)/(60)` is equivalent to `(3)/(x)` then value of `x` is

Options

A. 4
B. 5
C. 6
D. 20

Answer

To solve the equation \(\frac{45}{60} = \frac{3}{x}\), we will follow these steps:

### Step 1: Cross-Multiply
We start by cross-multiplying the fractions to eliminate the denominators. This means we will multiply the numerator of the first fraction by the denominator of the second fraction and set it equal to the numerator of the second fraction multiplied by the denominator of the first fraction.

\[ 45 \cdot x = 3 \cdot 60 \]

### Step 2: Calculate the Right Side
Now, we calculate the right side of the equation:

\[ 3 \cdot 60 = 180 \]

So, we now have:

\[ 45x = 180 \]

### Step 3: Solve for \(x\)
Next, we need to isolate \(x\). To do this, we divide both sides of the equation by 45:

\[ x = \frac{180}{45} \]

### Step 4: Simplify the Fraction
Now we simplify \(\frac{180}{45}\):

\[ x = 4 \]

Thus, the value of \(x\) is \(4\).

### Final Answer
\[ x = 4 \]

---