Answer:
[tex]\frac{1}{10}+\frac{25}{100}=\frac{7}{20}\quad \left(\mathrm{Decimal:\quad }\:0.35\right)[/tex]
Step-by-step explanation:
[tex]\frac{1}{10}+\frac{25}{100}\\\mathrm{Cancel\:}\frac{25}{100}:\quad \frac{1}{4}\\=\frac{1}{10}+\frac{1}{4}\\\mathrm{Least\:Common\:Multiplier\:of\:}10,\:4:\quad 20\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=\frac{2}{20}+\frac{5}{20}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{2+5}{20}\\\mathrm{Add\:the\:numbers:}\:2+5=7\\=\frac{7}{20}[/tex]
