Question

Express 1.2 333333 in p/q form where p and q are co-primes

Answer 1

Step-by-step explanation:

let x=1.2333333

multiply by 10

10x=12.33333 (equation 1)

multiply by 10

100x=123.33333(equation 2)

subtract equation1 from equation2

90x=111

x=111/90

x=37/30

Answer 2

1.2 333333 in p/q form = 37/30

Step-by-step explanation:

Let say N = 1.23333333......

Multiplying both sides by 10

=> 10N = 12.333333333.......   Eq1

Multiplying by 10 Both sides again

=> 100N = 123.3333333......   Eq2

Eq2 - Eq1

=> 100N - 10N  = 123.3333333......   -  12.333333333.......

=> 90N = 111

Dividing both sides by 3

=> 30N = 37

=> N = 37/30

37 & 30 are co-prime

1.2 333333 in p/q form = 37/30

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