2/9-((17/36-1/8)-(5/6-7/12))
Realizamos las operaciones dentro de paréntesis:
(17/36-1/8)
17/36-1/8=34-9/72=25/72
(5/6-7/12)
5/6-7/12=10-7/12=3/12
Ahora sustituimos:
2/9-((25/72)-(3/12))
2/9-(25/72-3/12)
2/9-(25-18/72)
2/9-(7/72)
2/9-7/72=16-7/72=9/72
9/72=1/9
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2/9-((17/36-1/8)-(5/6-7/12))
Realizamos las operaciones dentro de paréntesis:
(17/36-1/8)
17/36-1/8=34-9/72=25/72
(5/6-7/12)
5/6-7/12=10-7/12=3/12
Ahora sustituimos:
2/9-((25/72)-(3/12))
2/9-(25/72-3/12)
2/9-(25-18/72)
2/9-(7/72)
2/9-7/72=16-7/72=9/72
9/72=1/9