Solving proportions using equivalent fractions

Students will learn how to solve certain proportions by making equivalent fractions. This involves multiplying or dividing the numerator and denominator of one of the fractions by some integer constant. For example, to solve \(4/7 = n/28,\) we can multiply the numerator and denominator of \(4/7\) by \(4.\) This gives us \(16/28,\) from which it's clear that \(n = 16.\) To solve \(3/n = 6/14,\) we can divide the numerator and denominator of \(6/14\) by \(2.\) This gives us \(3/7,\) from which it's clear that \(n = 7.\)