Question

What is the value of this expression when d = 4⅞ and f = 3½?
6 (d - f) + f

Answer 1

`11(3)/(4)`

Explanation:

d = 4⅞ and f = 3½

`6 (d - f) + f= 6\left( 4(7)/(8) -3(1)/(2) \right) +3+(1)/(2)`

`= 6\left( 4+(7)/(8) -3-(4)/(8) \right) +3+(1)/(2)`

`= 6\left( 1+(3)/(8) \right) +3+(1)/(2)`

`= 6 +(18)/(8) \right) +3+(1)/(2)`

`= 6 +(18)/(8) \right) +3+(4)/(8)`

`= 9 +(22)/(8) \right)`

`= 9 +(11)/(4) \right)`

`= 9 +(2 *4+3)/(4) \right)`

`= 9 +(2+(3)/(4))`

`= 11+(3)/(4)`

`= 11(3)/(4)`