write whether the rational number 51 / 1500 will have a terminating decimal
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Answered by
5
Answer:
Step-by-step explanation:
Hi,
If a fraction , in its lowest terms , denominator
has no other prime factors except 2 and 5
it can be expressed as a terminating
decimal.
First we have write 51 / 1500 in it's
least form
51 / 1500 = ( 3 × 17 ) / ( 3 × 500 )
After cancellation , we get
51 / 1500 = 17 / 500
denominator = 500
= 2 × 2 × 5 × 5 × 5
Therefore ,
The denominator has no other
prime factors except 2 and 5 .
51 / 1500 is terminating decimal.
51 / 1500 = 17 / ( 2^2 × 5^3 )
= ( 17 × 2 ) / ( 2^3 × 5^3 )
= 34 / ( 2 ^3 × 5^3 )
= 0.034 ( terminating decimal )
I hope this helps you.
plss note that this is not my ans my friends oky!!!!
Answered by
2
Answer:
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