3 1/2 over 5 + 14/3 over 2

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asked Feb 25, 2019 218k views

1 vote

3 1/2 over 5 + 14/3 over 2

Mathematics
middle-school

Hanny asked

by Hanny

8.3k points

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1 Answer

3 votes

$(3(1)/(2))/(5)+((14)/(3))/(2)=3(1)/(2)\cdot(1)/(5)+(14)/(3)\cdot(1)/(2)=(3\cdot2+1)/(2)\cdot(1)/(5)+(7)/(3)\cdot(1)/(1)\\\\=(7)/(2)\cdot(1)/(5)+(7)/(3)=(7)/(10)+(7)/(3)=(7\cdot3)/(10\cdot3)+(7\cdot10)/(3\cdot10)=(21)/(30)+(70)/(30)\\\\=(91)/(30)=3(1)/(30)$