Step-by-step explanation:
We have,
[tex]1\dfrac{2}{3}-(-5\dfrac{2}{5} )+000000[/tex]
To find, [tex]1\dfrac{2}{3}-(-5\dfrac{2}{5} )+000000[/tex] = ?
∴ 1\dfrac{2}{3}-(-5\dfrac{2}{5}) +000000
= 1 + [tex]\dfrac{2}{3}[/tex] + [tex]5\dfrac{2}{5}[/tex]
[tex]=1+\dfrac{2}{3}+5+\dfrac{2}{5}[/tex]
= (1 + 5) + [tex](\dfrac{2}{3}+\dfrac{2}{5})[/tex]
= (1 + 5) + [tex]\dfrac{10+6}{15}[/tex]
= 6 + [tex]\dfrac{16}{15}[/tex]
= [tex]\dfrac{90+16}{15}[/tex]
= [tex]\dfrac{106}{15}[/tex]
= [tex]7\dfrac{1}{15}[/tex]
Thus, the value of [tex]1\dfrac{2}{3}-(-5\dfrac{2}{5} )+000000[/tex] = [tex]\dfrac{106}{15}[/tex] or, [tex]7\dfrac{1}{15}[/tex]
