`1420/19=?/0.01?

Options

A. 35/9
B. 18/7
C. 63/5
D. none of these

Answer

To solve the equation \( \frac{1420}{19} = \frac{?}{0.01} \), we will follow these steps:

### Step 1: Cross-Multiply
We start by cross-multiplying the equation:
\[ 1420 \times 0.01 = 19 \times ? \]

### Step 2: Simplify the Left Side
Now, we simplify the left side:
\[ 1420 \times 0.01 = 14.20 \]
So, we have:
\[ 14.20 = 19 \times ? \]

### Step 3: Isolate the Question Mark
Next, we isolate the question mark by dividing both sides by 19:
\[ ? = \frac{14.20}{19} \]

### Step 4: Perform the Division
Now we perform the division:
\[ ? = \frac{14.20}{19} \approx 0.7473684211 \]

### Step 5: Convert to a More Usable Form
To make it easier, we can express it in decimal form:
\[ ? \approx 0.75 \]

### Step 6: Check Options
Now, we check the provided options: 35.9, 18.7, 63.5, and none of these. Since 0.75 does not match any of the options, we conclude that the answer is:
\[ \text{None of these} \]

### Final Answer
Thus, the answer is:
\[ \text{None of these} \]

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