Math, asked by syedzeeshan899p4k4je, 1 year ago

Explain why 39/30 a terminating decimal expansion

Answers

Answered by Kanitha
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
Kanitha: Hm
Answered by WritersParadise01
14
hey mate! here's your answer!
_______________________

\frac{39}{30} is a terminating Decimal.

firstly, convert this into simpler form :-

= \frac{39}{30}

= \frac{13}{10}


since, if we take factors of the fraction,

then,

\frac{13}{10}

= \frac{13}{2 × 5}

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!

syedzeeshan899p4k4je: try try...
WritersParadise01: yh
WritersParadise01: now see!
syedzeeshan899p4k4je: are you kidding me...its a terminating decimal
WritersParadise01: wait a min , its written by mistake
syedzeeshan899p4k4je: but it has 3 also in in its factor...
WritersParadise01: hmm
syedzeeshan899p4k4je: and you have specifically written "only"\
WritersParadise01: hmm
WritersParadise01: actually, i forgot a step! now i have proved! sorry for my mistakes!
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