Question

How do you simplify `2\frac { 5} { 6} + ( - 1\frac { 7} { 9} )`?

Answer 1

`1 1/18`

Explanation:

It is possible to work with fractions by working with the whole numbers and fractions separately:

`color(red)(2) 5/color(blue)(6) -color(red)(1) 7/color(blue)(9)" "larr color(red)(2-1 = 1)` subtract the whole numbers

=`color(red)(1) " " color(white)(xxxxxx)/color(blue)(18)" "larr` find the LCD of 6 and 9

=`1 (color(lime)(15-14))/18" "larr` make equivalent fractions

=`1 1/18`