Question
CSATMediumPrelims 2020Maths

Which one of the following will have minimum change in its value if 5 is added to both numerator and the denominator of the fractions 23\frac{2}{3}, 34\frac{3}{4}, 45\frac{4}{5} and 56\frac{5}{6} ?

Explanation

A. 2/3: Original value: =2/30.66672/3 \rightarrow 0.6667 New value: =7/80.8757/8 \rightarrow 0.875 Change: =0.8750.66670.20830.875 - 0.6667 \rightarrow 0.2083

B. 3/4: Original value: =3/40.753/4 \rightarrow 0.75 New value: =8/90.88898/9 \rightarrow 0.8889 Change: =0.88890.750.13890.8889 - 0.75 \rightarrow 0.1389

C. 4/5: Original value: =4/50.84/5 \rightarrow 0.8 New value: =9/100.99/10 \rightarrow 0.9 Change: =0.90.80.10.9 - 0.8 \rightarrow 0.1

D. 5/6: Original value: =5/60.83335/6 \rightarrow 0.8333 New value: =10/110.909110/11 \rightarrow 0.9091 Change: =0.90910.83330.07580.9091 - 0.8333 \rightarrow 0.0758 The fraction 5/6 has the smallest change.

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