The simplified ratio is 7:50
Step-by-step explanation:
![\begin{gathered} \text{Given:} \\ 14\operatorname{cm}\colon\text{ 1m} \\ \\ We\text{ n}eed\text{ to simpify the ratios above} \end{gathered}]()
To simplify the ratios, we need to ensure they are same units.
In our question we have different units, so we will convert from meters to centimeters:
1m = 100cm
The ratio becomes:
![\begin{gathered} 14\operatorname{cm}\text{ : 100cm} \\ \\ \text{Simplifying:} \\ 14\operatorname{cm}\text{ : 100cm = }\frac{14\text{ cm}}{100\text{ cm}} \\ 2\text{ is common to both fraction:} \\ \frac{14\text{ cm}}{100\text{ cm}}\text{ = }\frac{2(7)\text{ cm}}{2(50)\text{ cm}} \\ \text{Units are the same, so they will cancel out} \\ =\text{ }(7)/(50) \end{gathered}]()
The ratio in simplified form:
