Question 65555
6" is half of 12" (a foot) and 4 " is a third of 12". so the floor is 12 and a half feet in width and 10 and a third feet in length.
To find the area multiply the length and width so
{{{Area = length * width = 12+(1/2) * 10+(1/3)}}}
Change each mixed numeral into an improper fraction by multiplying the whole number by the denominator (number on the bottom of the fraction) and then add the fraction part.
{{{(25/2)*(31/3)=(25*31)/(2*3)}}}
{{{775/6=129+(1/6)}}}

The tiles are 5/12 of a foot on each side. The area will be found by multiplying the width and the length together.
{{{(5/12)*(5/12)=(5*5)/(12*12)=25/144}}}

Find the number of tile required by dividing the area of one tile into the area of the floor.
{{{Tiles required=Area of floor/Area of a tile}}}
{{{(129+(1/6)) / (25/144)}}}
Rewrite all fractions as improper fractions, invert the dividing fraction and change the sign to multiply.
{{{(775/6) *(144/25)}}}
{{{(775*144)/(6*25)}}}
{{{111600/150}}}
744 tiles (note this is a nice round mathematical answer but some tiles may need to be cut into pieces to fit)