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What is 9/45 divided by 7/42

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1 vote
6/5. simplify 9/45 to 1/5 and flip 7/42 to 42/7 and multiply 1/5 by 42/7 which would be 42/35 and simplify to 6/5
User CrisisGriega
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4 votes

first\ sipmlify\ the\ fractions:\\(9)/(45)=(9:9)/(45:9)=(1)/(5)\\\\(7)/(42)=(7:7)/(42:7)=(1)/(6)\\\\(9)/(45):(7)/(42)=(1)/(5):(1)/(6)=(1)/(5)\cdot(6)/(1)=(1\cdot6)/(5\cdot1)=(6)/(5)=(5+1)/(5)=(5)/(5)+(1)/(5)\\\\=1+(1)/(5)=\boxed{1(1)/(5)}
User Vladimir Protsenko
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