Big Ideas Math Geometry, 2014
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Big Ideas Math Geometry, 2014 View details
Maintaining Mathematical Proficiency
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Exercise 6 Page 415

You can check whether the ratios form a proportion by comparing the ratios in their simplest form.

Yes.

Practice makes perfect
Recall that ratios form a proportion when the ratios are equivalent. Thus, to determine if the given ratios are equivalent, we will rewrite the ratios in their simplest form. If the resultant ratios are equivalent, then the ratios form a proportion.

&26/8=26÷2/8÷2 =13/4 [1.2em] &39/12=39÷3/12÷3=13/4 Because the resultant ratios are equivalent, 268 and 3912 form a proportion.