The rational number equivalent to 1.28 bar over 28 is 1and 28 over 99 that is option 2) is correct
The number that we have been given is 1.28 bar over 28 that is 28 is repeating.
Now we have to convert it into simple fraction.
For we will first denote,
X = 1.28 bar over 28
Multiplying both side by 100 as two digits are being repeated we get,
100X = 128.2828…
Now subtracting it from X on both side s and putting the value of X we get
100X – X = 128.28… - 1.2828….
99X = 127
X =127/99
X = 1 28/99
Hence the rational number equivalent to 1.28 bar over 28 is 1and 28 over 99 that is option 2) is correct
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