passpadi

2006

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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