Get insightful responses to your questions quickly and easily on IDNLearn.com. Find in-depth and accurate answers to all your questions from our knowledgeable and dedicated community members.
Sagot :
First you would see the biggest common factor in between 540 and 600. Here is a trick: to know if you have a factor of 3, you add the numbers of that number, then see if it is dividable by 3. So for number 540: 5+4+0=9. 9/3=3. So 540/3= 180. and for 600: 6+0+0=6. 6/3=2. 600/3=200. Now u have 180/200. divide that by 10 and u get 18/20. and finally you divide that by 2 and you get 9/10. Now the numbers i divided 540/600 we 3, 10 and 2. Numbers 3 and two are prime factors cause u cant divide them anymore unless u get 1 or a decimal number but number 10 is not prime since you can divide that by 2 witch will give you 5. So the prime factors of 540/600 are 2, 2, 3 and 5. 9/10
[tex]540|2\\270|2\\135|5\\.\ 27|3\\.\ \ 9|3\\.\ \ 3|3\\.\ \ 1|\\540=2\times2\times5\times3\times3\times3\\\\600|2\\300|2\\150|2\\.\ 75|3\\.\ 25|5\\.\ \ 5|5\\.\ \ 1|\\600=2\times2\times2\times3\times5\times5[/tex]
[tex]\frac{540}{600}=\frac{2\times2\times5\times3\times3\times3}{2\times2\times2\times3\times5\times5}=\frac{3\times3}{2\times5}=\frac{9}{10}[/tex]
[tex]\frac{540}{600}=\frac{2\times2\times5\times3\times3\times3}{2\times2\times2\times3\times5\times5}=\frac{3\times3}{2\times5}=\frac{9}{10}[/tex]
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for choosing IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more solutions.