Question

How is 9/5 - 1/3 equal 1 and 7/15. Can someone please explain and show work?

Answer 1

Below

Explanation:

`(9)/(5) - (1)/(3) \\\\\mathrm{Least\:Common\:Multiplier\:of\:}5,\:3:\quad 15\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM};\\\\(9)/(5)=(9*\:3)/(5*\:3)=(27)/(15)\\\\(1)/(3)=(1*\:5)/(3*\:5)=(5)/(15)\\\\=(27)/(15)-(5)/(15)\\\\\mathrm{Since\:the\:denominators\:are\:equal,\\combine\:the\:fractions}:\\\\\quad (a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)\\\\=(27-5)/(15)\\\\=(22)/(15)`

`22/ 15 = 1 \:remainder\: 7 = \\1 (7)/(15)\\`

Answer 2

Explanation:

9/5=9*3/5*3=27/15

1/3=5*1/5*3=5/15

27/15-5/15=22/15=(15+7)/15=15/15+7/15

=1+7/15=1 7/15