# SOLUTION: What fraction of 4 2/3 is 4/9?

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 Click here to see ALL problems on Systems-of-equations Question 140909: What fraction of 4 2/3 is 4/9?Found 2 solutions by checkley77, josmiceli:Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!(4/9)/(4 2/3) (4/9)/(14/3) (4/9)*(3/14) 12/126 2/21 is the fractional answer. proof 14/3*2/21 28/63=4/9 Answer by josmiceli(9650)   (Show Source): You can put this solution on YOUR website!First convert 4 2/3 to 1/3 's There are [3] 1/3's in 1 There are [3*4] 1/3's in 4 So, 4 2/3 = 12/3 + 2/3 12/3 + 2/3 = 14/3 Now the question becomes, What fraction of 14/3 is 4/9? Now convert 14/3 to 1/9's. Multiply top and bottom by 3 14/3 * 3/3 = 42/9 Now the question becomes, What fraction of 42/9 is 4/9? (4/9) / (42/9) = 4/42 4/42 = 2/21 answer You can check by converting to decimals 4 2/3 = 4.6666... 4/9 = .4444... .4444/4.6666 = .09523 2/21 = .09523 OK