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Write the ratio In lowest terms 36 to 40

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To solve this question we will use the following property of ratios:


ab\colon ac=b\colon c\text{.}

Now, notice that:


\begin{gathered} 36=4\cdot9, \\ 40=4\cdot10. \end{gathered}

Therefore:


36\colon40=4\cdot9\colon4\cdot10.

Using the above property of ratios we get:


4\cdot9\colon4\cdot10=9\colon10.

Answer: 9 to 10.

User Peter Qiu
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