Question

So here's the question

"Melissa knitted a scarf with 9 1/5
yards of red yarn. She used another 3 11/25 yards of blue yarn to finish knitting. How much more red than blue yarn did Melissa use?"

I need help solving it, and it is subtraction, right?

Answer 1

yes, is subtraction, to get their "difference".

first off, let's convert the mixed fractions, to "improper", and then subtract.


`\bf \stackrel{red~yarn}{9(1)/(5)}-\stackrel{blue~yarn}{3(11)/(25)}`


`\bf -------------------------------\\\\ \stackrel{mixed}{9(1)/(5)}\implies \cfrac{9\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{46}{5}} \\\\\\ \stackrel{mixed}{3(11)/(25)}\implies \cfrac{3\cdot 25+11}{25}\implies \stackrel{improper}{\cfrac{86}{25}}\\\\ -------------------------------\\\\ \cfrac{46}{5}-\cfrac{86}{25}\impliedby \textit{our LCD is 25}\implies \cfrac{(5\cdot 46)~~-~~(1\cdot 86)}{25} \\\\\\ \cfrac{230~-~86}{25}\implies \cfrac{144}{25}\implies 5(19)/(25)`