Express each of the following ratios in simplest form :
35 paise : ₹ 1

Answer

To express the ratio of 35 paise to ₹ 1 in its simplest form, we can follow these steps:

### Step 1: Convert ₹ 1 to paise
Since 1 rupee is equal to 100 paise, we can rewrite the ratio as:
\[ 35 \text{ paise} : 100 \text{ paise} \]

### Step 2: Write the ratio in fraction form
We can express the ratio as a fraction:
\[ \frac{35}{100} \]

### Step 3: Simplify the fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator (35) and the denominator (100).

- The factors of 35 are: 1, 5, 7, 35
- The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100

The common factor is 5.

Now, we divide both the numerator and the denominator by their GCD (5):
\[ \frac{35 \div 5}{100 \div 5} = \frac{7}{20} \]

### Step 4: Write the simplified ratio
Now, we can express the simplified fraction as a ratio:
\[ 7 : 20 \]

Thus, the simplest form of the ratio 35 paise to ₹ 1 is:
\[ \boxed{7 : 20} \]

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