Subject: fractions
which of the following pairs of fractions are equivalent? To directly compare two fractions you need them to have the same denominator. The challenge here is, for each pair of fractions, find a pair of equivalent fractions with the same denominators and then compare. (a) ^{1}/_{5} = ^{1x6}/_{5x6} = ^{6}/_{30} Thus the first fraction, ^{1}/_{5} and the second fraction ^{6}/_{30} are equivalent. (d) 20 = 2^{2} x 5 64 = 2^{6} Thus a common denominator is 2^{6} x 5 = 320. ^{15}/_{20} = ^{15x16}/_{20x16} = ^{240}/_{320} and ^{48}/_{64} = ^{48x5}/_{64x5} = ^{240}/_{320} Hence ^{15}/_{20} and ^{48}/_{64} are equivalent. Penny
