passpadi

2004

Mathematics

JAMB

Evaluate (1/10×2/3+1/4)/((1/2)/(3/5)-1/4)

A.

7/12

B.

19/35

C.

2/25

D.

19/60

Correct Answer: 19/35

Explanation

(1/10×2/3+1/4)/((1/2)/(3/5)-1/4) Numerator 1/10×2/3+1/4=1/5+1/4=(4+15)/60=19/60 denominator=(1/2)/(3/5)-1/4=1/2×5/3-1/4=5/6-1/4=(10-3)/12=7/12 Numerator/denominator=(19/60)/(7/12)=19/60×12/7=19/35

(1/10×2/3+1/4)/((1/2)/(3/5)-1/4) Numerator 1/10×2/3+1/4=1/5+1/4=(4+15)/60=19/60 denominator=(1/2)/(3/5)-1/4=1/2×5/3-1/4=5/6-1/4=(10-3)/12=7/12 Numerator/denominator=(19/60)/(7/12)=19/60×12/7=19/35
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