Question

How do you simplify the complex fraction 5/6 over 1 1/4

Answer 1

`Solution, ((5)/(6))/((11)/(4))=(10)/(33)\quad \left(\mathrm{Decimal:\quad }\:0.30303\dots \right)`

`Steps:`

`((5)/(6))/((11)/(4))`

`\mathrm{\mathrm{Divide\:fractions}:\quad ((a)/(b))/((c)/(d))=(a\cdot \:d)/(b\cdot \:c),\:(5\cdot \:4)/(6\cdot \:11),}`

`\mathrm{\mathrm{Multiply\:the\:numbers:}\:6\cdot \:11=66,\:(5\cdot \:4)/(66)}`

`\mathrm{\mathrm{Multiply\:the\:numbers:}\:5\cdot \:4=20,\:(20)/(66)}`

`\mathrm{\mathrm{Cancel\:the\:common\:factor:}\:2,\:(10)/(33)}`

`\mathrm{The\:Correct\:Answer\:is\:(10)/(33)}`

`\mathrm{Hope\:This\:Helps!!!}`

`\mathrm{-Austint1414}`