The smallest fraction which should be subtracted from the sum of $${\text{1}}\frac{3}{4}$$, $${\text{2}}\frac{1}{2}$$, $$5\frac{7}{{12}}$$, $${\text{3}}\frac{1}{3}$$ and $${\text{2}}\frac{1}{4}$$ to make the result a whole number is = ?
A. $$\frac{5}{{12}}$$
B. $$\frac{7}{{12}}$$
C. $$\frac{1}{2}$$
D. 7
Answer: Option A
Solution(By Examveda Team)
$$\eqalign{ & {\text{Sum of given fractions}} \cr & {\text{ = }}\frac{7}{4} + \frac{5}{2} + \frac{{67}}{{12}} + \frac{{10}}{3} + \frac{9}{4} \cr & = \left( {\frac{{21 + 30 + 67 + 40 + 24}}{{12}}} \right) \cr & = \frac{{185}}{{12}} \cr & {\text{The whole number just }} \cr & {\text{less than }}\frac{{185}}{{12}}{\text{ is 15}} \cr & {\text{let }}\frac{{185}}{{12}} - x = 15 \cr & {\text{Then,}} \cr & x = \left( {\frac{{185}}{{12}} - 15} \right) \cr & \,\,\,\,\,\, = \frac{5}{{12}} \cr} $$Related Questions on Simplification
A. 20
B. 80
C. 100
D. 200
E. None of these
A. Rs. 3500
B. Rs. 3750
C. Rs. 3840
D. Rs. 3900
E. None of these
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