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How do you simplify to tell whether the ratios #1/7, 2/14# form a proportion?

Answer 1

See a solution process below:

We can rewrite #2/14# as:

#2/14 => (2 xx 1)/(2 xx 7) => (color(red)(cancel(color(black)(2))) xx 1)/(color(red)(cancel(color(black)(2))) xx 7) => 1/7#

Therefore, these two terms are the same and therefore form a proportion.

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Answer 2

Jameson Allen

To determine if the ratios 1/7 and 2/14 form a proportion, you can cross multiply and see if the products are equal. Cross multiplying yields 1 * 14 = 2 * 7, which simplifies to 14 = 14. Since the products are equal, the ratios form a proportion.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.