Question

1) use euclid's division algorithum to find the hcf of 255 and 867

2) write the denominator of 91 / 1250 in the form of 2^n * 5^m where m &n are - negative integers . also write its decimal expansion without actual expansion

VERY URGENT PLEASE ANYONE SAY THE ANSWERS FOR THESE TWO QUESTIONS IN FULL STEPS

Answer 1

hope it helps you
thank you

Answer 2

Hello,

here is your answer,

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(1) 867 and 255

Since 867 > 255, we apply the division lemma to 867 and 255 to obtain

867 = 255 × 3 + 102

Since remainder 102 ≠ 0, we apply the division lemma to 255 and 102 to obtain

255 = 102 × 2 + 51

We consider the new divisor 102 and new remainder 51, and apply the division lemma to obtain

102 = 51 × 2 + 0

Since the remainder is zero, the process stops.

Since the divisor at this stage is 51,

Therefore, HCF of 867 and 255 is 51.


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