Find the ratio of each of the in simplest form :
60 paise to 4 rupees

Answer

To find the ratio of 60 paise to 4 rupees in its simplest form, we can follow these steps:

### Step 1: Convert 60 paise to rupees
We know that 1 rupee is equal to 100 paise. Therefore, to convert 60 paise to rupees, we can use the formula:

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

So,

\[ 60 \text{ paise} = \frac{60}{100} \text{ rupees} \]

### Step 2: Simplify the fraction
Now, we simplify \(\frac{60}{100}\):

\[ \frac{60}{100} = \frac{6}{10} = \frac{3}{5} \]

Thus, 60 paise is equal to \(\frac{3}{5}\) rupees.

### Step 3: Write the ratio
Now we can express the ratio of 60 paise to 4 rupees. We have:

\[ \text{Ratio} = \frac{3}{5} \text{ rupees} : 4 \text{ rupees} \]

### Step 4: Convert 4 rupees to a fraction
To make the comparison easier, we can express 4 rupees as a fraction:

\[ 4 \text{ rupees} = \frac{4}{1} \text{ rupees} \]

### Step 5: Write the ratio in fraction form
Now we can write the ratio as:

\[ \frac{3/5}{4/1} \]

### Step 6: Cross-multiply to simplify
To simplify this ratio, we can cross-multiply:

\[ = \frac{3 \times 1}{5 \times 4} = \frac{3}{20} \]

### Step 7: Write the final ratio
Thus, the ratio of 60 paise to 4 rupees in simplest form is:

\[ 3 : 20 \]

### Final Answer
The simplest form of the ratio of 60 paise to 4 rupees is \(3 : 20\).

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