Find the ratio in simplest form is `
60 cm to 2.4 m

Answer

To find the ratio of 60 cm to 2.4 m in its simplest form, follow these steps:

### Step 1: Convert meters to centimeters
Since the two quantities need to be in the same unit for comparison, we convert 2.4 meters to centimeters. We know that 1 meter = 100 centimeters.

\[ 2.4 \, \text{m} = 2.4 \times 100 \, \text{cm} = 240 \, \text{cm} \]

### Step 2: Write the ratio
Now that both quantities are in centimeters, we can write the ratio of 60 cm to 240 cm.

\[ \text{Ratio} = \frac{60 \, \text{cm}}{240 \, \text{cm}} \]

### Step 3: Simplify the ratio
To simplify the ratio, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 60 and 240 is 60.

\[ \frac{60 \div 60}{240 \div 60} = \frac{1}{4} \]

### Step 4: Write the ratio in standard form
The simplified ratio can also be expressed in the form of "a to b".

\[ \text{Ratio} = 1 : 4 \]

### Final Answer
Thus, the ratio of 60 cm to 2.4 m in simplest form is:

\[ \text{Hence, the required ratio is } 1 : 4 \]

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