Question

An interior designer purchased 4 1/2 yard

s, 6 2/3 yards and 9 1/4 yards of fabric to make curtains. how many yards of fabric did they purchase

Answer 1

well, is just a matter of addition, namely 4 1/2 + 6 2/3 + 9 1/4.

now, let's change all mixed fractions firstly, to "improper" fractions, and proceed from there,


`\bf \stackrel{mixed}{4(1)/(2)}\implies \cfrac{4\cdot 2+}{1}\implies \stackrel{improper}{\cfrac{9}{2}} \\\\\\ \stackrel{mixed}{6(2)/(3)}\implies \cfrac{6\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{20}{3}} \\\\\\ \stackrel{mixed}{9(1)/(4)}\implies \cfrac{9\cdot 4+1}{}\implies \stackrel{improper}{\cfrac{37}{4}}\\\\ -------------------------------\\\\`


`\bf \cfrac{9}{2}+\cfrac{20}{3}+\cfrac{37}{4}\impliedby \textit{our LCD is clearly \underline{12}}\implies \cfrac{(6)9+(4)20+(3)37}{12} \\\\\\ \cfrac{245}{12}\implies 20(5)/(12)`