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Find all the equivalent ratios to 25:35.

Sagot :

5/7, 50/70, 75/105, 125/175, 175/245

9514 1404 393

Answer:

  5n : 7n . . . for any non-zero real number n

Step-by-step explanation:

The terms in the given ratio both have a factor of 5. When that is factored out, the ratio reduces to ...

  25 : 35 = (5)(5) : (5)(7) = 5 : 7

Equivalent ratios can be made by multiplying both parts of the ratio by the same number, any non-zero number. There are an infinite number of equivalent ratios. They can be expressed as ...

  5n : 7n . . . for any non-zero n

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Additional comment

We assume your question actually has a list of possibilities from which you are to choose. If you divide the second number in the ratio by the first, you will get 7/5 = 1.4 for any equivalent ratio. A calculator and/or knowledge of multiplication facts can be of help.

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