How would i calculate 1.9 minus 11/12?

The solution for  is 0.9833.

Solution:

To calculate , carry out the following steps ,

By converting the decimal 1.9 to fraction , the given can be written as,

By taking LCM for denominators 10 and 12 we get 60.

By multiply 19 with 6 and 11 with 5 we get both the denominator as 60.

Since the denominators are same, we can subtract 55 from 114 we get .

By dividing 59 by 60, we get  

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4