The ratio of 80 cm to 3.5 m is equal to

Options

A. `190" cm": 7" cm"`
B. `8 cm` : `35 cm`
C. `160" cm": 7" cm"`
D. `180" cm": 7" m"`

Answer

To solve the problem of finding the ratio of 80 cm to 3.5 m, we can follow these steps:

### Step 1: Convert 3.5 m to centimeters
We know that 1 meter is equal to 100 centimeters. Therefore, to convert 3.5 meters to centimeters, we multiply 3.5 by 100.

\[ 3.5 \, \text{m} = 3.5 \times 100 \, \text{cm} = 350 \, \text{cm} \]

### Step 2: Write the ratio
Now that we have both measurements in the same unit (centimeters), we can write the ratio of 80 cm to 350 cm.

\[ \text{Ratio} = \frac{80 \, \text{cm}}{350 \, \text{cm}} \]

### Step 3: Simplify the ratio
To simplify the ratio, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, both 80 and 350 can be divided by 10.

\[ \frac{80 \div 10}{350 \div 10} = \frac{8}{35} \]

### Final Answer
The ratio of 80 cm to 3.5 m is \( \frac{8}{35} \).

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