Length and Width Ratio

To find the ratio of the length to the width of a given object, we need to divide the length by the width. Let's consider an example to understand this concept better.

Example:
We have a rectangle with a length of 10 meters and a width of 2.4 centimeters. We are required to find the ratio of the length to the width.

Step 1: Convert the units to the same system
Since the length is given in meters and the width is given in centimeters, we need to convert one of the units to match the other. Let's convert the width from centimeters to meters.

1 meter = 100 centimeters

To convert centimeters to meters, we divide the value by 100.

Width in meters = 2.4 cm ÷ 100 = 0.024 meters

Now, both the length and width are in meters, and we can proceed to the next step.

Step 2: Find the ratio
To find the ratio of the length to the width, we divide the length by the width.

Ratio = Length ÷ Width
Ratio = 10 meters ÷ 0.024 meters

Simplifying the ratio:
To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor.

Greatest common divisor of 10 and 0.024 is 0.004.

Ratio = (10 meters ÷ 0.024 meters) ÷ 0.004
Ratio = 416.67

So, the ratio of the length to the width is 416.67.

Conclusion:
The ratio of the length to the width of the given object is 416.67. This means that for every 416.67 units of length, there is 1 unit of width.