Answer:
[tex]20:1[/tex].
Step-by-step explanation:
We have been given a ratio between two quantities as 5.6 m to 28 cm. We are asked to express the given ratio in simplest form.
We know that 1 meter equals 100 centimeters. Now, we will convert 5.6 meters to centimeters by multiplying 5.6 by 100.
[tex]\text{5.6 m}=5.6\times 100\text{ cm}=560\text{ cm}[/tex]
We can represent our given ratio as a fraction as shown below:
[tex]\frac{560\text{ cm}}{28\text{ cm}}[/tex]
Upon simplifying our fraction, we will get:
[tex]\frac{28\times 20\text{ cm}}{28\times 1\text{ cm}}[/tex]
[tex]\frac{20}{1}[/tex]
Upon representing our fraction as a ratio, we will get:
[tex]20:1[/tex]
Therefore, the simplest form of our given ratio would be [tex]20:1[/tex].
