Height of Ankita is 1 m 20 cm and the height of Anshul is 90 cm.
Express the ratio of Ankita's height to that of Anshul in lowest terms.

Answer

To express the ratio of Ankita's height to Anshul's height in lowest terms, follow these steps:

### Step 1: Convert Heights to the Same Unit
Ankita's height is given as 1 meter 20 centimeters. We need to convert this to centimeters:
- 1 meter = 100 centimeters
- Therefore, 1 meter 20 centimeters = 100 cm + 20 cm = 120 cm.

Anshul's height is already given in centimeters:
- Anshul's height = 90 cm.

### Step 2: Write the Ratio
Now that both heights are in centimeters, we can express the ratio of Ankita's height to Anshul's height:
- Ratio = Ankita's height : Anshul's height = 120 cm : 90 cm.

### Step 3: Simplify the Ratio
To simplify the ratio, we can write it as a fraction:
- Ratio = 120/90.

Next, we need to simplify this fraction to its lowest terms.

### Step 4: Divide by Common Factors
1. Both 120 and 90 have a common factor of 30:
- 120 ÷ 30 = 4
- 90 ÷ 30 = 3

So, the simplified ratio is:
- 4/3.

### Step 5: Write the Final Ratio
Thus, the ratio of Ankita's height to Anshul's height in lowest terms is:
- 4 : 3.

### Summary of Steps
1. Convert heights to the same unit (cm).
2. Write the ratio.
3. Simplify the ratio by finding common factors.
4. Write the final ratio in lowest terms.

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