Question

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

Answer 1

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

$Steps:$

$\frac{\frac{5}{6}}{\frac{11}{4}}$

$\mathrm{\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c},\:\frac{5\cdot \:4}{6\cdot \:11},}$

$\mathrm{\mathrm{Multiply\:the\:numbers:}\:6\cdot \:11=66,\:\frac{5\cdot \:4}{66}}$

$\mathrm{\mathrm{Multiply\:the\:numbers:}\:5\cdot \:4=20,\:\frac{20}{66}}$

$\mathrm{\mathrm{Cancel\:the\:common\:factor:}\:2,\:\frac{10}{33}}$

$\mathrm{The\:Correct\:Answer\:is\:\frac{10}{33}}$

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

$\mathrm{-Austint1414}$