Respuesta :

Answer:

20 : 3 : 12

Step-by-step explanation:

[tex]1000 \: : \: 150 \: : \: 600 \\ \\ = 1000 \div 50 \: : \: 150 \div 50 \: : \: 600 \div 50 \\ \\ = 20 \: : \: 3 \: : \: 12 \\ \\[/tex]

The simplest form of the above is 20:3:12

In order to find out the simplest form, you have to divide all the numbers by their highest common factor.

Their factors are:

  • 150 ⇒  1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150.
  • 600 up to 150 ⇒  1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120 and 150
  • 1,000 up to 150 ⇒ 1 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, and 125.

The highest common factor is 50 so the simplest form will be:

1,000 / 50 : 150/ 50 : 600/50

20 : 3 : 12

In conclusion, the simplest form of 1000:150:600 is 20:3:600.

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