Question

`4 2/9 - (1 5/8 + 3 2/9 )`

Answer 1

`4 2/9 - (1 5/8 + 3 2/9 )`

`=38/9-(13/8+29/9)`

`=38/9-13/8-29/9`

`=(38/9-29/9)-13/8`

`=9/9-13/8`

`=1-13/8`

`=-5/8`

Answer 2

\(4\dfrac{2}{9}-\left(1\dfrac{5}{8}+3\dfrac{2}{9}\right)=\dfrac{38}{9}-\dfrac{13}{8}-\dfrac{29}{9}=\dfrac{38-29}{9}-\dfrac{13}{8}=1-\dfrac{13}{8}=\dfrac{8-13}{8}=-\dfrac{5}{8}\)

Answer 3

`4 2/9-(1 5/8+3 2/9)`

`=4 2/9-1 5/8-3 2/9`

`=38/9-13/8-29/9`

`=(38/9-29/9)-13/8`

`=9/9-13/8`

`=1-13/8`

`=-5/8`

Answer 4

`4 2/9 -(1 5/8 +3 2/9)`

`=4 2/9 -3 2/9 -1 5/8`

`=1 -13/8`

`=8/8-13/8`

`=-5/8`

Answer 5

\(4\dfrac{2}{9}-\left(1\dfrac{5}{8}+3\dfrac{2}{9}\right)=\dfrac{38}{9}-\left(\dfrac{13}{8}+\dfrac{29}{9}\right)\)

                               \(=\dfrac{38}{9}-\dfrac{13}{8}-\dfrac{29}{9}\)

                               \(=\left(\dfrac{38}{9}-\dfrac{29}{9}\right)-\dfrac{13}{8}\)

                               \(=1-\dfrac{13}{8}\)

                               \(=\dfrac{8}{8}-\dfrac{13}{8}=\dfrac{-5}{8}\)

Answer 6

4$\dfrac{2}{9}$ - (1$\dfrac{5}{8}$ + 3$\dfrac{2}{9}$)

= $\dfrac{38}{9}$ - ($\dfrac{13}{8}$ + $\dfrac{29}{9}$)

= $\dfrac{38}{9}$ - ($\dfrac{13.9}{8.9}$ + $\dfrac{29.8}{9.8}$)

= $\dfrac{38}{9}$ - ($\dfrac{117}{72}$ + $\dfrac{232}{72}$)

= $\dfrac{39}{9}$ - ($\dfrac{117+232}{72}$)

= $\dfrac{39}{9}$ - $\dfrac{349}{72}$

= $\dfrac{39.8}{9.8}$ - $\dfrac{349}{72}$

= $\dfrac{304}{72}$ - $\dfrac{349}{72}$

= $\dfrac{304-349}{72}$

= $\dfrac{-45}{72}$

= $\dfrac{-5}{8}$.