QUESTION

CSAT

Medium

Maths

Prelims 2020

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 $\frac{2}{3}$ , $\frac{3}{4}$ , $\frac{4}{5}$ and $\frac{5}{6}$ ?

Select an option to attempt

Explanation

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

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

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

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