Explain why 39/30 a terminating decimal expansion
Answers
Answered by
0
Its answer is 1.3.... it does not repeat the same numbers it stops repeating.thus it is terminating decimal
Hope it helped you pls mark as brainliest
syedzeeshan899p4k4je:
sry but you have to explain mathematically
Answered by
14
hey mate! here's your answer!
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is a terminating Decimal.
firstly, convert this into simpler form :-
=![\frac{39}{30} \frac{39}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B39%7D%7B30%7D)
=![\frac{13}{10} \frac{13}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B10%7D)
since, if we take factors of the fraction,
then,
![\frac{13}{10} \frac{13}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B10%7D)
=![\frac{13}{2 × 5} \frac{13}{2 × 5}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2+%C3%97+5%7D)
A fraction in its lowest term can be expressed as a terminating decimal if and only if the denominator has powers of only 2 and/or 5.
thus, it is terminating Decimal!
_______________________
firstly, convert this into simpler form :-
=
=
since, if we take factors of the fraction,
then,
=
A fraction in its lowest term can be expressed as a terminating decimal if and only if the denominator has powers of only 2 and/or 5.
thus, it is terminating Decimal!
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