Question

1
—
10
+
25
—
100 =

Answer 1

`(1)/(10)+(25)/(100)=(7)/(20)\quad \left(\mathrm{Decimal:\quad }\:0.35\right)`

Explanation:

`(1)/(10)+(25)/(100)\\\mathrm{Cancel\:}(25)/(100):\quad (1)/(4)\\=(1)/(10)+(1)/(4)\\\mathrm{Least\:Common\:Multiplier\:of\:}10,\:4:\quad 20\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=(2)/(20)+(5)/(20)\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad (a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)\\=(2+5)/(20)\\\mathrm{Add\:the\:numbers:}\:2+5=7\\=(7)/(20)`