Prime Factorization to Check if Fractions will be Repeating or Terminating Decimal Numbers

[@flytrapYTP]

Thank you so much, I wrote this down in class but then I forgot the principle :S

[@shenoudasamuel6089]

Tysm 😊 🙏

[@shreerav]

Thank you! Never knew this!

[@tentgoesvent]

In the fraction 9/15, 15 has the prime factors 3 and 5. It's still terminating. (9/15 = 0.6). Please Explain this.
*Question from Textbook - *
Oliver notices that 9/15 has a prime factor of 3 in the denominator, so he thinks the fraction will convert to a recurring decimal.
However, when he enters it into his calculator, he finds that 9/15 = 0.6 .
Can you explain Oliver's mistake?

[@tentgoesvent]

@@alcuinwright3933 Thanks, yeah

[@ollzz_5882]

@@alcuinwright3933 the fraction 40 over 2112 does not work in its simplest form it is 5 over 264 which breaks down into 11 3 2 and 2 but in the calculator it says this it is not a recurring decimal

[@siennavanmaanen1347]

Thanks! This really helped!

[@sainislam5945]

Thanks Sir....

[@charliebuckels6329]

thanks

[@tianna622]

Now i can go do my assignment that's due tomorrow! and is 3 pages long and I havent started!

[@Desternate]

GG@FBI/YOURSCHOOLTEACHERNAME

[@knightking3721]

How about 78/65 if we divide it, its terminating but if we do prime factorization then it is non terminating

[@MrHexTheGhost]

Ok

[@ranjodhsingh5723]

Good

[@randaabdalmoaeen5327]

but 9/14 is terminal and the prime factorization of 14 is 2 and 7, how ??

[@MathematicsTutor]

We have repeating decimals. That is what I am saying. Thanks

[@ranjodhsingh5723]

U cleaned my doubt

[@MathematicsTutor]

Thanks. Feel free to post questions as soon has you have doubts. All the best

[@ranjodhsingh5723]

Nice

[@MathematicsTutor]

Thanks

[@rainexpertt4776]

...l

[@assadullah7816]

Therainbowmlg ! sir please explain terminating and non terminating