A candle maker has 4 1/2 pounds of clear wax. He wants to cut the wax into pieces that are 2/3 pound each. How many 2/3 pound pi
eces can he divide the wax into. How much wax does he have leftover
2 answers:
![\bf \cfrac{4\frac{1}{2}}{\quad \frac{2}{3}\quad }\implies \cfrac{\frac{4\cdot 2+1}{2}}{\quad \frac{2}{3}\quad }\implies \cfrac{\frac{9}{2}}{\quad \frac{2}{3}\quad }\implies \cfrac{9}{2}\cdot \cfrac{3}{2}\implies \cfrac{27}{4}\implies 6\frac{3}{4} \\\\\\ \textit{so, 6 whole pieces, and }\frac{3}{4}\textit{ of another one}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B4%5Cfrac%7B1%7D%7B2%7D%7D%7B%5Cquad%20%5Cfrac%7B2%7D%7B3%7D%5Cquad%20%7D%5Cimplies%20%5Ccfrac%7B%5Cfrac%7B4%5Ccdot%202%2B1%7D%7B2%7D%7D%7B%5Cquad%20%5Cfrac%7B2%7D%7B3%7D%5Cquad%20%7D%5Cimplies%20%5Ccfrac%7B%5Cfrac%7B9%7D%7B2%7D%7D%7B%5Cquad%20%5Cfrac%7B2%7D%7B3%7D%5Cquad%20%7D%5Cimplies%20%5Ccfrac%7B9%7D%7B2%7D%5Ccdot%20%5Ccfrac%7B3%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B27%7D%7B4%7D%5Cimplies%206%5Cfrac%7B3%7D%7B4%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ctextit%7Bso%2C%206%20whole%20pieces%2C%20and%20%7D%5Cfrac%7B3%7D%7B4%7D%5Ctextit%7B%20of%20another%20one%7D)
now, what's the leftover? well, 3/4 of the last one, namely 3/4 of 2/3, what is 3/4 of 2/3 anyway? well, is just their product,
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