Find the ratio of 40 paise to Rs. 2.

Answer

To find the ratio of 40 paise to Rs. 2, we will follow these steps:

### Step 1: Convert 40 paise to rupees
We know that 1 rupee is equal to 100 paise. Therefore, to convert 40 paise to rupees, we can use the formula:

\[ \text{Rupees} = \frac{\text{Paise}}{100} \]

So,

\[ 40 \text{ paise} = \frac{40}{100} \text{ rupees} = 0.4 \text{ rupees} \]

### Step 2: Write the ratio of 40 paise (in rupees) to Rs. 2
Now we can express the ratio of 40 paise (0.4 rupees) to Rs. 2. The ratio can be written as:

\[ \text{Ratio} = \frac{0.4 \text{ rupees}}{2 \text{ rupees}} \]

### Step 3: Simplify the ratio
Since both quantities are in rupees, we can simplify the ratio:

\[ \text{Ratio} = \frac{0.4}{2} \]

To simplify this, we can multiply both the numerator and the denominator by 10 to eliminate the decimal:

\[ \text{Ratio} = \frac{0.4 \times 10}{2 \times 10} = \frac{4}{20} \]

### Step 4: Further simplify the fraction
Now, we can simplify the fraction \(\frac{4}{20}\):

\[ \frac{4}{20} = \frac{1}{5} \]

### Step 5: Write the final ratio
The final ratio of 40 paise to Rs. 2 is:

\[ 1 : 5 \]

### Summary of Steps:
1. Convert 40 paise to rupees (0.4 rupees).
2. Write the ratio of 0.4 rupees to 2 rupees.
3. Simplify the ratio.
4. Further simplify the fraction to get the final ratio.