CarrollG640263 CarrollG640263
  • 03-11-2022
  • Mathematics
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Write the ratio In lowest terms 36 to 40

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KaedonH274096 KaedonH274096
  • 03-11-2022

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

[tex]ab\colon ac=b\colon c\text{.}[/tex]

Now, notice that:

[tex]\begin{gathered} 36=4\cdot9, \\ 40=4\cdot10. \end{gathered}[/tex]

Therefore:

[tex]36\colon40=4\cdot9\colon4\cdot10.[/tex]

Using the above property of ratios we get:

[tex]4\cdot9\colon4\cdot10=9\colon10.[/tex]

Answer: 9 to 10.

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