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Question

Express 2.36¯+0.23¯ as a fraction in simplest form.

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Solution

Given: 2.36¯+0.23¯
Let
x=2.36¯ ...iy=0.23¯ ...ii
First we take x and convert it into pq
100x = 236.3636... ...(iii)
Subtracting (i) from (iii) we get
99x=234x=23499
Similarly, multiply y with 100 as there are 2 decimal places which are repeating themselves.
100y=23.2323... ...(iv)
Subtracting (ii) from (iv) we get
99y=23y=2399
Adding x and y we get
2.36¯+0.23¯ = x+y=23499+2399=25799

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