Question

Sarah's craft project uses pieces of yarn that are 1/8 long. She has a piece of yarn that is 3 yards long. How many 1/8 yard pieces can she cut and still have 1 1/4 yards left?

Answer 1

well, first off let's check how much is 3 minus the 1 1/4, so the leftover we check how many 1/8 go into it.


`\bf 1(1)/(4)\implies \cfrac{1\cdot 4+1}{4}\implies \cfrac{5}{4}\\\\ -------------------------------\\\\ 3-1(1)/(4)\implies 3-\cfrac{5}{4}\impliedby \textit{LCD of 4}\implies \cfrac{(4\cdot 3)-5}{4}\implies \cfrac{7}{4} \\\\\\ \textit{now, how many times does }(1)/(8)\textit{ go into }(7)/(4)?\implies \cfrac{\quad (7)/(4)\quad }{(1)/(8)}\implies \cfrac{7}{4}\cdot \cfrac{8}{1} \\\\\\ \cfrac{56}{4}\implies 14`