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Mathematics
JAMB
Simolify (7/9-2/3)/(1/3+(2/5)/(4/5))
A.
11/12
B.
5/6
C.
1/5
D.
2/15
Correct Answer:
2/15
Explanation
(7/9-2/3)/(1/3+(2/5)/(4/5))=((7-6)/9)/(1/3+(2/5)/(4/5))=(1/9)/(1/3+(2/5×5/4))=(1/9)/(1/3+1/2)=(1/9)/((2+3)/6)=(1/9)/(5/6)=1/9×6/5=2/15
(7/9-2/3)/(1/3+(2/5)/(4/5))=((7-6)/9)/(1/3+(2/5)/(4/5))=(1/9)/(1/3+(2/5×5/4))=(1/9)/(1/3+1/2)=(1/9)/((2+3)/6)=(1/9)/(5/6)=1/9×6/5=2/15
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