Question Number 22076 by ajfour last updated on 10/Oct/17
$${find}\:{approximately}\:{and}\:{quickly} \\ $$$${without}\:{calculator}\:\frac{\mathrm{54329}}{\mathrm{2467}}\:. \\ $$
Commented by ajfour last updated on 10/Oct/17
$${my}\:{way}: \\ $$$$\:\frac{\mathrm{54329}}{\mathrm{2467}}\approx\frac{\mathrm{543}.\mathrm{3}}{\mathrm{24}.\mathrm{67}}\:\approx\:\frac{\mathrm{543}.\mathrm{3}+\frac{\mathrm{1}}{\mathrm{3}}×\mathrm{22}}{\mathrm{24}.\mathrm{67}+\frac{\mathrm{1}}{\mathrm{3}}} \\ $$$$\approx\frac{\mathrm{550}.\mathrm{6}}{\mathrm{25}}\approx\frac{\mathrm{2202}.\mathrm{4}}{\mathrm{100}}=\mathrm{22}.\mathrm{024}\: \\ $$
Commented by ajfour last updated on 10/Oct/17
$${the}\:{figure}\:{in}\:{red}\:{is}\:{a}\:{rough}\:{guess} \\ $$$${of}\:{the}\:{ratio}. \\ $$
Commented by NECx last updated on 10/Oct/17
$$\mathrm{hmmmm}....\:\mathrm{nice}\:\mathrm{scope} \\ $$