Express each of the ratio in its simplest form :
70 paise to Rs 100

Answer

To express the ratio of 70 paise to Rs 100 in its simplest form, follow these steps:

### Step 1: Convert Rs 100 to paise
Since 1 rupee is equal to 100 paise, we can convert Rs 100 to paise:
\[ 100 \text{ Rs} = 100 \times 100 \text{ paise} = 10000 \text{ paise} \]

### Step 2: Write the ratio in the same units
Now we can express the ratio of 70 paise to 10000 paise:
\[ \text{Ratio} = 70 \text{ paise} : 10000 \text{ paise} \]

### Step 3: Convert the ratio to fraction form
We can write this ratio as a fraction:
\[ \frac{70}{10000} \]

### Step 4: Simplify the fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 70 and 10000 is 10.
\[ \frac{70 \div 10}{10000 \div 10} = \frac{7}{1000} \]

### Step 5: Write the simplified ratio
Now, we can express the simplified ratio in ratio form:
\[ 7 : 1000 \]

Thus, the ratio of 70 paise to Rs 100 in its simplest form is:
\[ \text{Final Ratio} = 7 : 1000 \]

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