The rational form of 0.324 is in the form of-, then (m + n) is____
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33
☆Answer:-
0.324
Let x = 0.3242424... (i)
10x = 3.242424... (ii)
1000x = 324.2424... (iii)
We have to Subtract (iii) from (ii) -
1000x - 10x = 324 - 3
==> 900x = 321
==> x = 321/900
==> x = 107/300
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Given : The rational form of 0.324 is in the form of m/n
To Find : m + n
Solution:
Considering simplest rational form p/q where p and q are co primes and q≠ 0
0.324 = 324/1000
= 162/500
= 81/250
81 = 3 * 3 * 3 * 3
250 = 2 * 5 * 5 * 5
81 and 250 are co primes
m = 81 and n = 250
m + n = 81 + 250 = 331
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