Question

1/3 plus 4/7 divided by 3/10

Answer 1

47/21

Explanation:

`(1)/(3) + (4)/(7) / (3)/(10) \\\\\mathrm{Apply\:the\:fraction\:rule}:\quad (a)/(b)/ (c)/(d)=(a)/(b)* (d)/(c)\\=(1)/(3)+(4)/(7)* (10)/(3)\\\\(4)/(7)* (10)/(3)=(40)/(21)\\=(1)/(3)+(40)/(21)\\\\\mathrm{Least\:Common\:Multiplier\:of\:}3,\:21:\quad 21\\\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=(7)/(21)+(40)/(21)\\\\=(7+40)/(21)\\\\=(47)/(21)`