Find the ratio of each of the in simplest form :
91 cm to `1.04` m

Answer

To find the ratio of 91 cm to 1.04 m in simplest form, follow these steps:

### Step 1: Convert centimeters to meters
We know that 1 meter = 100 centimeters. Therefore, we can convert 91 cm to meters by dividing by 100.

\[ 91 \text{ cm} = \frac{91}{100} \text{ m} = 0.91 \text{ m} \]

### Step 2: Write the ratio in meters
Now that both quantities are in meters, we can write the ratio of 0.91 m to 1.04 m.

\[ \text{Ratio} = 0.91 : 1.04 \]

### Step 3: Eliminate the decimal
To simplify the ratio, we can eliminate the decimal by multiplying both sides by 100.

\[ 0.91 \times 100 : 1.04 \times 100 = 91 : 104 \]

### Step 4: Simplify the ratio
Next, we need to simplify the ratio 91:104. We can do this by finding the greatest common divisor (GCD) of 91 and 104.

- The factors of 91 are \(1, 7, 13, 91\).
- The factors of 104 are \(1, 2, 4, 8, 13, 26, 52, 104\).

The common factor is 13.

Now, we divide both numbers by their GCD (13):

\[ \frac{91}{13} : \frac{104}{13} = 7 : 8 \]

### Final Answer
The simplest form of the ratio of 91 cm to 1.04 m is:

\[ \text{Ratio} = 7 : 8 \]

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