Respuesta :

the given expression is

[tex]1\frac{2}{3}-\frac{7}{9}[/tex]

the calculation is given as follows,

[tex]\begin{gathered} \frac{5}{3}-\frac{7}{9}=\frac{10-7}{9}=\frac{1}{3} \\ \end{gathered}[/tex]

first we jump from 7/9 to 1

so the length will be

= 1 - 7/ 9

= (9-7)/9

= 2/9

now we have 2/9

then we jump from 1 to 1 2/3 or 1 to 5/3

so ,

[tex]\begin{gathered} 1\frac{2}{3}-1 \\ \frac{5}{3}-1 \\ \frac{5-3}{3}=\frac{2}{3} \end{gathered}[/tex]

now the total length is

2/9 + 2/3

[tex]\frac{2}{9}+\frac{2}{3}=\frac{2+6}{9}=\frac{8}{9}[/tex]

it is clearly seen that at the place of 4/9 there will be 8/9

6/9 will be 8/9.

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