By how much does $$\frac{6}{{\frac{7}{8}}}$$ exceed $$\frac{{\frac{6}{7}}}{8}$$ ?
A. $$6\frac{1}{8}$$
B. $$6\frac{3}{4}$$
C. $$7\frac{3}{4}$$
D. $$7\frac{5}{6}$$
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & \frac{6}{{\frac{7}{8}}} = \frac{{6 \times 8}}{7} = \frac{{48}}{7} \cr & \frac{{\frac{6}{7}}}{8} = \frac{6}{{7 \times 8}} = \frac{6}{{56}} = \frac{3}{{28}} \cr & {\text{Difference - }} \cr & = \frac{{48}}{7} - \frac{3}{{28}} \cr & = \frac{{192 - 3}}{{28}} \cr & = \frac{{189}}{{28}} \cr & = \frac{{27}}{4} \cr & = 6\frac{3}{4} \cr} $$Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
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