Find the ratio of the following:
40 cm to 1.5 m

Answer

To find the ratio of 40 cm to 1.5 m, we will follow these steps:

### Step 1: Convert the units to be the same
We have 40 cm and 1.5 m. Since it is easier to convert meters to centimeters, we will convert 1.5 m to centimeters.

1. **Conversion**:
- We know that 1 meter = 100 centimeters.
- Therefore, to convert 1.5 meters to centimeters, we multiply 1.5 by 100:
\[ 1.5 \, \text{m} = 1.5 \times 100 = 150 \, \text{cm} \]

### Step 2: Write the values in the same unit
Now we have:
- 40 cm
- 150 cm

### Step 3: Set up the ratio
The ratio of 40 cm to 150 cm can be written as:
\[ \text{Ratio} = \frac{40 \, \text{cm}}{150 \, \text{cm}} \]

### Step 4: Simplify the ratio
Since both values are in centimeters, we can cancel out the units:
\[ \text{Ratio} = \frac{40}{150} \]
Now, we simplify this fraction. We can divide both the numerator and the denominator by 10:
\[ \frac{40 \div 10}{150 \div 10} = \frac{4}{15} \]

### Step 5: Write the ratio in standard form
To express the ratio, we write it as:
\[ 4 : 15 \]

### Final Answer
The ratio of 40 cm to 1.5 m is:
\[ \boxed{4 : 15} \]

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